NEET Physics is the scoring paper in the medical entrance examination. Here, you will discover the NEET Physics MCQ Questions for all Concepts as per the latest syllabus. Practice more on a regular basis with these NEET Physics objective questions on air pollution and improve your subject knowledge & problem-solving skills along with time management. NEET Physics Multiplication of Vectors Multiple Choice Questions make you feel confident in answering the question in the exam & increases your scores to high.
MCQ 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?
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?
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
Answer
Answer: (b) \(\vec{b} \times \vec{c}\)