Vector Basics

41 MCQs Covers scalars and vectors, magnitude, unit vectors, parallel vectors, position vectors, distance and direction cosines (Ex 14.1).

MCQs

41 questions · 40 min · 41 marks

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Sample questions

The first 5 of 41. Try each one, then tap to see the answer.

  1. Question 1

    Which of the following is a scalar quantity?

    • AVelocity
    • BSpeed
    • CForce
    • DDisplacement
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    Answer: B

    Speed has magnitude only; velocity, force and displacement also need direction.

  2. Question 2

    Which of the following is a vector quantity?

    • AMass
    • BTemperature
    • CWork
    • DMomentum
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    Answer: D

    Momentum has both magnitude and direction.

  3. Question 3

    A vector is represented geometrically by

    • Aa directed line segment
    • Ba point
    • Ca closed curve
    • Da plane region
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    Answer: A

    A vector AB is a directed line segment with initial point A and terminal point B.

  4. Question 4

    The magnitude of the vector u = [x, y] in the plane is

    • Ax + y
    • Bx² + y²
    • C√(x² + y²)
    • D√(x² − y²)
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    Answer: C

    |u| is the distance of P(x, y) from the origin.

  5. Question 5

    A unit vector in the direction of v is

    • Av × |v|
    • Bv / |v|
    • C|v| / v
    • Dv + |v|
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    Answer: B

    Dividing a vector by its magnitude gives a vector of magnitude 1.

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