Parallelogram Law of Vector Addition & Vector Subtraction Worksheet

Worksheet: Parallelogram Law of Vector Addition & Vector Subtraction

20 Multiple Choice Questions (JEE Main / NEET Level)

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1. Two vectors of magnitudes 6 N and 8 N act at an angle of $60^\circ$. The magnitude of their resultant is

A) 10 N
B) 12 N
C) 14 N
D) 7 N

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2. Two vectors of equal magnitude $A$ are inclined at $120^\circ$. Their resultant magnitude is

A) $A$

B) $\sqrt{2}A$

C) $\sqrt{3}A$

D) $2A$

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3. If two vectors have magnitudes 5 and 12 units and are perpendicular, the magnitude of their resultant is

A) 13

B) 17

C) 7

D) 10

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4. Two equal vectors each of magnitude 10 units act in opposite directions. The resultant is

A) 20

B) 10

C) 0

D) 5

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5. The maximum possible resultant of vectors of magnitudes 15 and 20 units is

A) 5

B) 20

C) 25

D) 35

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6. The minimum possible resultant of vectors 15 and 20 units is

A) 35

B) 25

C) 5

D) 15

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7. Two vectors have resultant equal to either of the vectors. The angle between them is

A) $60^\circ$

B) $90^\circ$

C) $120^\circ$

D) $180^\circ$

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8. Two vectors of magnitudes 3 and 4 units produce a resultant of magnitude 5 units. The angle between them is

A) $30^\circ$

B) $45^\circ$

C) $60^\circ$

D) $90^\circ$

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9. Two vectors of magnitudes 8 and 15 units have a resultant of 17 units. The angle between them is

A) $60^\circ$

B) $90^\circ$

C) $120^\circ$

D) $30^\circ$

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10. The resultant of two equal vectors is equal to one of them. The angle between them is

A) $60^\circ$

B) $90^\circ$

C) $120^\circ$

D) $180^\circ$

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Vector Subtraction

11. Two vectors of magnitudes 6 and 8 units are inclined at $60^\circ$. The magnitude of their difference is

A) 4

B) 7.2

C) $\sqrt{52}$

D) 10

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12. Two equal vectors each of magnitude 10 units are at $60^\circ$. Their difference equals

A) 0

B) 10

C) $10\sqrt2$

D) 20

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13. Two perpendicular vectors of magnitudes 5 and 12 units. Magnitude of their difference is

A) 13

B) 17

C) 7

D) 5

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14. Two vectors are parallel in the same direction. Their magnitudes are 12 and 7 units. Their difference equals

A) 19

B) 5

C) 12

D) 7

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15. Two vectors each of magnitude 9 units act in opposite directions. Their difference equals

A) 18

B) 0

C) 9

D) 27

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16. The maximum possible value of $|\vec A-\vec B|$ for vectors of magnitudes 12 and 8 units is

A) 20

B) 4

C) 12

D) 8

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17. The minimum possible value of $|\vec A-\vec B|$ for vectors of magnitudes 12 and 8 units is

A) 20

B) 4

C) 8

D) 12

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18. Two vectors have magnitudes 10 and 24 units. If their difference is 26 units, the angle between them is

A) $60^\circ$

B) $90^\circ$

C) $120^\circ$

D) $180^\circ$

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19. If $|\vec A-\vec B|=|\vec A+\vec B|$, then the angle between the vectors is

A) $0^\circ$

B) $45^\circ$

C) $90^\circ$

D) $180^\circ$

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20. Two vectors each of magnitude 20 units have a difference of $20\sqrt3$. The angle between them is

A) $60^\circ$

B) $90^\circ$

C) $120^\circ$

D) $150^\circ$

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Answer Key

Q.No	Answer
1	A
2	A
3	A
4	C
5	D
6	C
7	C
8	D
9	B
10	C
11	C
12	B
13	A
14	B
15	A
16	A
17	B
18	B
19	C
20	C