Parallelogram Law of Vector Addition & Vector Subtraction - Worksheet2

 

Worksheet: Parallelogram Law of Vector Addition & Vector Subtraction

JEE Main • NEET • CBSE Class 11 Physics

Total Questions: 20 MCQs
Instructions: Choose the most appropriate answer.

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Questions

1.

According to the parallelogram law, if two vectors acting simultaneously on a particle are represented by the two adjacent sides of a parallelogram, then their resultant is represented by

A) The longer side

B) The shorter side

C) The diagonal passing through the common point

D) The other diagonal

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2.

Two vectors of magnitudes 8 N and 6 N act at right angles. The magnitude of their resultant is

A) 10 N

B) 14 N

C) 2 N

D) 48 N

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3.

Two vectors each of magnitude 10 units make an angle of 60°. Their resultant is

A) 10 units

B) 20 units

C) $10\sqrt3$ units

D) $5\sqrt3$ units

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4.

If two equal vectors act in opposite directions, then the resultant magnitude is

A) Twice either vector

B) Zero

C) Equal to one vector

D) Depends on angle

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5.

The resultant of two vectors is maximum when the angle between them is

A) 180°

B) 90°

C) 60°

D) 0°

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6.

The resultant of two vectors is minimum when the angle between them is

A) 180°

B) 0°

C) 90°

D) 45°

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7.

Two vectors have magnitudes 12 N and 5 N. The minimum possible resultant is

A) 17 N

B) 13 N

C) 7 N

D) 5 N

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8.

Two vectors have magnitudes 9 units and 12 units. What is the maximum possible resultant?

A) 3 units

B) 21 units

C) 15 units

D) 108 units

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9.

If the resultant of two vectors is equal to one of the vectors, then the angle between them is

A) 0°

B) 60°

C) 90°

D) 180°

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10.

Two vectors of magnitudes 5 N and 12 N have resultant 13 N. The angle between them is

A) 0°

B) 60°

C) 90°

D) 120°

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Vector Subtraction (Parallelogram Law)

11.

The vector subtraction A − B can be obtained by

A) Adding A and B

B) Adding A with −B

C) Subtracting magnitudes only

D) None

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12.

Two vectors have magnitudes 8 units and 6 units making an angle of 60°. The magnitude of A − B is

A) 2 units

B) 4 units

C) 7 units

D) 14 units

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13.

If two equal vectors are perpendicular, the magnitude of their difference is

A) A

B) $\sqrt2A$

C) 2A

D) Zero

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14.

If |A| = 5, |B| = 5, and angle between them is 180°, then |A−B| equals

A) 0

B) 5

C) 10

D) $5\sqrt2$

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15.

For two equal vectors making angle 60°, the magnitude of their difference is

A) A

B) $\sqrt3A$

C) 2A

D) Zero

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16.

Two vectors have magnitudes 15 units and 8 units making angle 180°. Their difference is

A) 7 units

B) 23 units

C) 15 units

D) 8 units

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17.

The magnitude of A − B is minimum when the angle between A and B is

A) 180°

B) 90°

C) 60°

D) 0°

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18.

The magnitude of A − B is maximum when the angle between A and B is

A) 0°

B) 45°

C) 90°

D) 180°

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19.

If two vectors have equal magnitude A, then |A−B| when angle between them is 120° equals

A) A

B) $\sqrt2A$

C) $\sqrt{3}A$

D) $A\sqrt{3}$

20.

Two vectors have magnitudes 13 units and 5 units. Their difference has maximum magnitude equal to

A) 8 units

B) 13 units

C) 18 units

D) 65 units

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Answer Key

Q	Ans	Q	Ans
1	C	11	B
2	A	12	C
3	C	13	B
4	B	14	C
5	D	15	A
6	A	16	B
7	C	17	D
8	B	18	D
9	C	19	C
10	C	20	C