NEET Physics: Unit Vector Practice Questions
10 free multiple-choice questions on Unit Vector (Kinematics) for NEET Physics, each with the correct answer and a step-by-step explanation. Attempt a question, then reveal the solution to check your reasoning.
Practice thousands more NEET questions in the app →Q1. If the direction cosines of a vector are cos α= 1/2, cos β= √3/2, and cos γ= 0, what is the magnitude of the vector?
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Correct answer: B — 2
The magnitude of a vector is √(cos²α+ cos²β+ cos²γ). Magnitude = √((1/2)² + (√3/2)² + 0²) = √(1/4 + 3/4) = √1 = 1. (Note: This question tests the concept of direction cosines leading to magnitude calculation).
Q2. A vector R⃗ has a magnitude of 5 units. What is the magnitude of the unit vector in the direction of R⃗?
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Correct answer: C — 1
The magnitude of any unit vector is always 1, regardless of the magnitude of the vector it represents.
Q3. The magnitude of any unit vector is:
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Correct answer: C — 1
By definition, a unit vector is a vector whose magnitude is exactly 1.
Q4. The magnitude of any unit vector is always:
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Correct answer: B — 1
By definition, a unit vector is a vector having a magnitude of unity (1).
Q5. The unit vector in the direction of the vector (3, 4) is:
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Correct answer: C — (3/5, 4/5)
The magnitude of (3, 4) is √(3² + 4²) = 5. The unit vector is (3/5, 4/5).
Q6. If a vector A⃗ has magnitude 5, what is the magnitude of the unit vector in the direction of A⃗?
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Correct answer: A — 1
The magnitude of a unit vector is always 1, regardless of the magnitude of the original vector.
Q7. Which of the following quantities is used to represent only the direction of a line or a direction in space?
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Correct answer: C — Unit Vector
A unit vector represents only the direction of a vector, having a magnitude of 1.
Q8. Which statement correctly describes the property of a unit vector?
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Correct answer: C — Its direction can change without changing its magnitude.
The defining property of a unit vector is that its magnitude is always unity (1), while its direction is determined by the vector it is derived from.
Q9. What is the magnitude of any unit vector?
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Correct answer: A — 1
By definition, a unit vector is a vector having a magnitude of exactly 1.
Q10. A vector V⃗ has a magnitude of 7. What is the magnitude of the unit vector in the direction of V⃗?
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Correct answer: D — 1
The magnitude of any unit vector is universally 1, regardless of the magnitude of the vector it is derived from.
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