300+ TOP MCQs on Multiplication of Vectors and Answers

NEET  Physics is the very imporatant paper in the Medical Entrance EXAM. So these NEET Physics MCQs and Answers for all Concepts as per the new syllabus. Practice more on a regular basis with these NEET Physics objective questions on air pollution . NEET Physics Multiplication of Vectors Multiple Choice Questions

MCQs on Multiplication of Vectors :

1. Two vectors (2 hat{i}+3 hat{j}+8 hat{k}) and (4 hat{j}-4 hat{j}+alpha hat{k}) are perpendicular to each other. What is the value of α?
(A) ½
(B) -½
(C) 1
(D) -1

Answer

Answer: (B) -½

2. A force of 50 N acts on a body and displaces it through a distance of 10 meters in a direction making an angle of 600 with the force. What is the work done by the force?
(A) 100 J
(B) 150 J
(C) 200 J
(D) 250 J

Answer

Answer: (D) 250 J

3. If the sum of two vectors is perpendicular to the difference between them. The ratio of their magnitude will be
(A) 1
(B) 2
(C) 3
(D) 4

Answer

Answer: (A) 1

4. If (vec{A} times vec{B}=vec{A} cdot vec{B})  then the angle between A and B will be
(A) π
(B) π/2
(C) π/3
(D) π/4

Answer

Answer: (D) π/4

5. What is the value of (|vec{P} times vec{Q}| text { if } vec{P}=3 hat{i}+hat{j}+2 hat{k} text { and } vec{Q}=2 hat{i}-2 hat{j}+4 hat{k} )?
(A) 8√3
(B) 3√8
(C) 4√3
(D) 3√4

Answer

Answer: (A) 8√3

6. If (vec{P} times vec{Q}=vec{R}), then which of the following statements is true?
Multiplication of Vectors MCQs for NEET 1

Answer

Answer: (D) (vec{R} perp(vec{P} times vec{Q}))

7. The magnitude of the scalar product of the vectors (overrightarrow{V_{1}}=2 hat{i}+5 hat{k}) and (overrightarrow{V_{1}}=2 hat{i}+5 hat{k}) is
(A) 20
(B) 36
(C) 24
(D) 34

Answer

Answer: (A) 20

8. Which of the following statements is true if (vec{P})  and (vec{Q}) are perpendicular to each other?
Multiplication of Vectors MCQs for NEET 2

Answer

Answer: (C) (vec{P} cdot vec{Q}=0)

9. What is the angle between the vectors (-2 hat{i}+3 hat{j}+hat{k}) and (hat{i}+2 hat{j}+-4 hat{k})?
(A) 0°
(B) 25°
(C) 90°
(D) 180°

Answer

Answer: (C) 90°

10. A force (vec{F}=5 hat{i}+6 hat{i}+4 hat{k}) acts on a body and displaces it by (vec{S}=6 hat{i}-5 hat{imath}). What is the work done by the force?
(A) 5 Units
(B) 10 Units
(C) 15 Units
(D) 20 Units

Answer

Answer: (B) 10 Units

11. What is the area of the parallelogram which represented by vectors (vec{P}=2 hat{i}+3 hat{j}) and (vec{Q}=i+4 hat{j})?
(A) 5 Units
(B) 10 Units
(C) 15 Units
(D) 20 Units

Answer

Answer: (A) 5 Units

12. What is the angle between vectors (vec{A} times vec{B}) and (vec{B} times vec{A})?
(A) π
(B) 00
(C) π/2
(D) π/4

Answer

Answer: (A) π

13. The angle between (vec{A}+vec{B}) and (vec{A} times vec{B}) is
(A) π
(B) π/2
(C) π/4
(D) 0

Answer

Answer: (B) π/2

14. The vectors (vec{a}), (vec{b}) and (vec{c}) satisfy the relation (vec{a} cdot vec{b}=0) and (vec{a} cdot vec{c}=0). The vector (vec{a}) is parallel to
Multiplication of Vectors MCQs for NEET 3

Answer

Answer: (B)  (vec{b} times vec{c})

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