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Vectors NEET Questions for Students

The angle formed by the vector 3i + 23j with the Z-axis is

a. 90°

b. 45°

c. 0°

d. 60°

Option a - 90°

If the magnitude of the cross product and the dot product of two vectors are equal, the angle between them is

a. 0°

b. 45°

c. 60°

d. 90°

Option b - 45°

The vector that is parallel to A = 8i + 15j and has a magnitude of 51 units is

a. 32i + 48j

b. 32i + 24j

c. 24i + 45j

d. 16i + 30j

Option c - 24i + 45j

Which vector is parallel to 2i + 3j – 8k?

a. 4i + 3j – 16k

b. 6i + 9j – 8k

c. 8i + 8j – 24k

d. 6i + 9j – 24k

Option d - 6i + 9j – 24k

For A = 4i – j and B = 2i + j, the unit vector perpendicular to both A and B is

a. i

b. j

c. k

d. i × k

Option c - k

If vectors A and B lie along the X-axis and Y-axis respectively, the vector A × B is directed along the

a. X-axis

b. Y-axis

c. Z-axis

d. X or Y-axis

Option c - Z-axis

If A = –2i + 3j – 4k and B = 3i + 4j + 5k, the cross product A × B is

a. 5i – j + k

b. 6i – 12j – 20k

c. –i + 7j – 9k

d. 31i – 2j – 17k

Option d - 31i – 2j – 17k

A force F = 10i + 4j – 2k acts on a point located at S = 2i – 4j – 2k. The torque produced by this force is

a. 12i + 16j + 4k

b. 16i – 16j + 48k

c. 12i + 16j – 4k

d. 12i – 16j + 4k

Option b - 16i – 16j + 48k

The vector with a magnitude of 10 units and opposite in direction to 6i – 8j is

a. 6i – 8j

b. –6i + 8j

c. –8i + 6j

d. –8i – 6j

Option b - –6i + 8j

If the sum of two force vectors is perpendicular to their difference, then these forces are

a. Equal to each other

b. Equal in magnitude

c. Unequal in magnitude

d. Not determinable

Option d - Not determinable

A body has a displacement of 3i + 4j + 2k and a linear momentum of 2i – 3j + 2k. The angular momentum is

a. 5i + j + 4k

b. i – 7j + 4k

c. 14i – 2j – 17k

d. 6i – 12j + 4k

Option c - 14i – 2j – 17k

The vector perpendicular to F = 4i – 3j is

a. 4i + 3j

b. 6i

c. 7k

d. 3i – 4j

Option c - 7k

The work done by the forces 2i + 2j + 5k and 3i – 5j – 4k in displacing a body by 18i + 17j – 7k is

a. 63 units

b. 38 units

c. 32 units

d. 28 units

Option c - 32 units

In the equation W = F · S, if W = 0, then

a. F and S are in the same direction

b. F and S are perpendicular to each other

c. F and S are perpendicular to each other in opposite directions

d. The angle between F and S is not 90°

Option b - F and S are perpendicular to each other

The area of a triangle with sides A = –3i – 4j and B = 5i – 7j is

a. 19.5

b. 0.5

c. 43.5

d. 84.5

Option b - 0.5

If three forces a(i – j + k), (2i – 3j + 4k), and (8i – 7j + 6k) act on a body in equilibrium, the value of 'a' is

a. –8

b. –10

c. 12

d. 7

Option b - –10

Which of the following quantities is a scalar?

a. Energy of a thermal neutron

b. Electric field

c. Velocity of air

d. Torque

Option a - Energy of a thermal neutron

The SI unit of specific heat capacity is

a. Joule

b. Joule/kg·K

c. Joule/K

d. Joule/mole·K

Option b - Joule/kg·K

The wavelength of light measuring 60 microns in meters is

a. 0.000006 m

b. 0.06 m

c. 0.00006 m

d. 0.0006 m

Option c - 0.00006 m

If voltage fluctuations cause errors in an experiment, the error is most likely a

a. Systematic error

b. Personal error

c. Random error

d. Instrumental error

Option c - Random error

Assertion: Among the four measurements x = 0.5 m, x = 0.50 m, x = 0.500 m, and x = 0.5000 m, the last measurement is the most accurate.

Reason: Only the last significant digit in any measurement is uncertain.

a. Both Assertion and Reason are true, and Reason correctly explains Assertion.

b. Both Assertion and Reason are true, but Reason does not correctly explain Assertion.

c. Assertion is true, but Reason is false.

d. Assertion is false, but Reason is true.

Option a - Both Assertion and Reason are true, and Reason correctly explains Assertion.

A racing car’s velocity recorded by four sensors is 150 m/s, 151 m/s, 152 m/s, and 149 m/s. The average absolute error is

a. 0.2 m/s

b. 1 m/s

c. 0.5 m/s

d. 2 m/s

Option b - 1 m/s

A metal sheet has a length of 4.28 m and a breadth of 2.06 m. The correct area of the sheet to the appropriate significant figures is

a. 8.83 m²

b. 8.82 m²

c. 8.816 m²

d. 8.817 m²

Option b - 8.82 m²

Joule per second is equivalent to

a. watt

b. pascal

c. tesla

d. farad

Option a - watt

A pendulum of length 90 cm with a 2 mm precision is timed using a clock of 0.2 s resolution over 200 oscillations. If its time period is 2 s, the accuracy in calculating g is approximately

a. 20%

b. 50%

c. 10%

d. 30%

Option a - 20%

Assertion: Fermi is a suitable unit for measuring nuclear radii.

Reason: Micron and angstrom are not appropriate units because they are comparatively large.

a. Both Assertion and Reason are true, and Reason explains Assertion correctly

b. Both Assertion and Reason are true, but Reason does not explain Assertion

c. Assertion is true, Reason is false

d. Assertion is false, Reason is true

Option a - Both Assertion and Reason are true, and Reason explains Assertion correctly

The dimensional formula for latent heat is the same as

a. angular momentum

b. gravitational potential

c. electric potential

d. internal energy

Option b - gravitational potential

If l = 4.221 cm and b = 2.1 cm, the correctly expressed value of l + b is

a. 6.31 cm

b. 6 cm

c. 6.62 cm

d. 6.3 cm

Option d - 6.3 cm

Two forces are in the ratio 1:2 and act at an angle of 30°. If their resultant is 30 N, the forces are approximately

a. 10.31 N and 20.62 N

b. 9.63 N and 18.64 N

c. 6.22 N and 12.44 N

d. 1.26 N and 3.13 N

Option a - 10.31 N and 20.62 N

A boat travels 8 km upstream and returns in still water. If the stream’s speed is 4 km/hr and total time taken is 2 hrs, the time taken in the stream is

a. 2 hr 20 min

b. 2 hr 40 min

c. 1 hr 20 min

d. 3 hr 30 min

Option b - 2 hr 40 min

A man perceives rain at twice his speed. At what angle should he hold the umbrella?

a. 30°

b. 45°

c. 60°

d. 90°

Option a - 30°

Identify the scalar quantity

a. Electric current

b. Electric field

c. Acceleration

d. Linear momentum

Option a - Electric current

Which of the following is a vector?

a. Electric charge

b. Electric current

c. Electric field strength

d. Electric potential

Option c - Electric field strength

If vectors A and B are in one plane and vector C lies in another, then the plane of A + B + C will be

a. In the plane of A + B

b. In the plane of B + C

c. Not a single defined plane

d. Possibly zero

Option c - Not a single defined plane

If P = ai + aj + zk and Q = ai – 2j – k are perpendicular, then the value of a is

a. 3

b. 2

c. 1

d. 0

Option a - 3

Which is a general form used for representing physical quantities?

a. Scalar

b. Tensor

c. Vector

d. Undefined

Option b - Tensor

The sum of two vectors is a

a. Scalar

b. Vector

c. Tensor

d. None

Option b - Vector

The product of a scalar and a vector results in a

a. Scalar

b. Vector

c. Tensor

d. None

Option b - Vector

The cross product of two vectors gives a

a. Scalar

b. Vector

c. Tensor

d. None

Option b - Vector

Which of these is a scalar quantity?

a. Velocity

b. Acceleration

c. Length

d. Force

Option c - Length

Which of the following represents a vector quantity?

a. Distance

b. Mass

c. Work

d. Force

Option d - Force

What is the result of multiplying two scalars?

a. Vector

b. Tensor

c. Scalar

d. None

Option c - Scalar

If a body is displaced by r = 3i + 2j – 5k under a force F = 2i – j – k, the work done is

a. 2

b. 5

c. 9

d. 11

Option c - 9

The equation of a plane perpendicular to vector A = 2i + 3j + 6k and passing through point B = i + 5j + 3k is

a. 2x + 3y + 6z = 35

b. 3y + 2z = 2

c. x – 2y – 5z = 6

d. None

Option a - 2x + 3y + 6z = 35

A particle moves from r₁ = 3i + 2j – 6k to r₂ = 14i + 13j + 9k under F = 4i + j + 3k. The work done is

a. 50 units

b. 75 units

c. 100 units

d. 200 units

Option c - 100 units

If vectors A = 2i + aj + k and B = 4i – 2j – 2k are perpendicular, the value of 'a' is

a. 1

b. 2

c. 3

d. 4

Option c - 3

Two forces act in opposite directions and result in 10 N. If they act at 90°, the resultant is 50 N. The original forces are

a. 20 N and 30 N

b. 40 N and 30 N

c. 25 N and 40 N

d. 50 N and 60 N

Option b - 40 N and 30 N

If A – B = C and |A – B| = |C|, the angle between vectors A and B is

a. 0°

b. 30°

c. 45°

d. None

Option a - 0°

If |A| = |A – B|, the angle between A and B is such that |B| equals

a. 0°

b. 60°

c. 90°

d. 120°

Option b - 60°

The resultant of two forces 5 N and 10 N cannot be

a. 4 N

b. 6 N

c. 9 N

d. 13 N

Option a - 4 N

If |A + B| = |A – B|, the angle between vectors A and B is

a. 0°

b. 90°

c. 120°

d. None

Option b - 90°

For vectors F = 4i + 10j and r = 5i – 4j, the value of r × F is

a. –66k

b. 66k

c. 77k

d. None

Option b - 66k

We covered all the vectors neet questions above in this post for free so that you can practice well for the exam.

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Questions ▼

Vectors NEET Questions for Students

The angle formed by the vector 3i + 23j with the Z-axis is

If the magnitude of the cross product and the dot product of two vectors are equal, the angle between them is

The vector that is parallel to A = 8i + 15j and has a magnitude of 51 units is

Which vector is parallel to 2i + 3j – 8k?

For A = 4i – j and B = 2i + j, the unit vector perpendicular to both A and B is

If vectors A and B lie along the X-axis and Y-axis respectively, the vector A × B is directed along the

If A = –2i + 3j – 4k and B = 3i + 4j + 5k, the cross product A × B is

A force F = 10i + 4j – 2k acts on a point located at S = 2i – 4j – 2k. The torque produced by this force is

The vector with a magnitude of 10 units and opposite in direction to 6i – 8j is

If the sum of two force vectors is perpendicular to their difference, then these forces are

A body has a displacement of 3i + 4j + 2k and a linear momentum of 2i – 3j + 2k. The angular momentum is

The vector perpendicular to F = 4i – 3j is

The work done by the forces 2i + 2j + 5k and 3i – 5j – 4k in displacing a body by 18i + 17j – 7k is

In the equation W = F · S, if W = 0, then

The area of a triangle with sides A = –3i – 4j and B = 5i – 7j is

If three forces a(i – j + k), (2i – 3j + 4k), and (8i – 7j + 6k) act on a body in equilibrium, the value of 'a' is

Which of the following quantities is a scalar?

The SI unit of specific heat capacity is

The wavelength of light measuring 60 microns in meters is

If voltage fluctuations cause errors in an experiment, the error is most likely a

Assertion: Among the four measurements x = 0.5 m, x = 0.50 m, x = 0.500 m, and x = 0.5000 m, the last measurement is the most accurate.

Reason: Only the last significant digit in any measurement is uncertain.

A racing car’s velocity recorded by four sensors is 150 m/s, 151 m/s, 152 m/s, and 149 m/s. The average absolute error is

A metal sheet has a length of 4.28 m and a breadth of 2.06 m. The correct area of the sheet to the appropriate significant figures is

Joule per second is equivalent to

A pendulum of length 90 cm with a 2 mm precision is timed using a clock of 0.2 s resolution over 200 oscillations. If its time period is 2 s, the accuracy in calculating g is approximately

Assertion: Fermi is a suitable unit for measuring nuclear radii.

Reason: Micron and angstrom are not appropriate units because they are comparatively large.

The dimensional formula for latent heat is the same as

If l = 4.221 cm and b = 2.1 cm, the correctly expressed value of l + b is

Two forces are in the ratio 1:2 and act at an angle of 30°. If their resultant is 30 N, the forces are approximately

A boat travels 8 km upstream and returns in still water. If the stream’s speed is 4 km/hr and total time taken is 2 hrs, the time taken in the stream is

A man perceives rain at twice his speed. At what angle should he hold the umbrella?

Identify the scalar quantity

Which of the following is a vector?

If vectors A and B are in one plane and vector C lies in another, then the plane of A + B + C will be

If P = ai + aj + zk and Q = ai – 2j – k are perpendicular, then the value of a is

Which is a general form used for representing physical quantities?

The sum of two vectors is a

The product of a scalar and a vector results in a

The cross product of two vectors gives a

Which of these is a scalar quantity?

Which of the following represents a vector quantity?

What is the result of multiplying two scalars?

If a body is displaced by r = 3i + 2j – 5k under a force F = 2i – j – k, the work done is

The equation of a plane perpendicular to vector A = 2i + 3j + 6k and passing through point B = i + 5j + 3k is

A particle moves from r₁ = 3i + 2j – 6k to r₂ = 14i + 13j + 9k under F = 4i + j + 3k. The work done is

If vectors A = 2i + aj + k and B = 4i – 2j – 2k are perpendicular, the value of 'a' is

Two forces act in opposite directions and result in 10 N. If they act at 90°, the resultant is 50 N. The original forces are

If A – B = C and |A – B| = |C|, the angle between vectors A and B is

If |A| = |A – B|, the angle between A and B is such that |B| equals

The resultant of two forces 5 N and 10 N cannot be

If |A + B| = |A – B|, the angle between vectors A and B is

For vectors F = 4i + 10j and r = 5i – 4j, the value of r × F is

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