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NEET Physics: Scalars and Vectors Practice Questions

15 free multiple-choice questions on Scalars and Vectors (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.

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  1. Q1. If two vectors have the same magnitude but opposite directions, their resultant vector will be:

    • ATwice the magnitude
    • BZero
    • CThe sum of their magnitudes
    • DHalf the magnitude
    Show answer & explanation

    Correct answer: B — Zero

    If two vectors have equal magnitude but opposite directions (e.g., A⃗ and -A⃗), their resultant vector is the zero vector, as their components cancel out.

  2. Q2. If two vectors are added together, the resulting quantity is always a:

    • AVector quantity
    • BScalar quantity
    • CDot product
    • DMagnitude
    Show answer & explanation

    Correct answer: A — Vector quantity

    The sum of two vectors results in a new vector, as directionality is preserved during vector addition. Scalar quantities are added arithmetically.

  3. Q3. The magnitude of a vector represents which property?

    • AThe direction of motion
    • BThe size or amount
    • CThe direction only
    • DThe net change
    Show answer & explanation

    Correct answer: B — The size or amount

    The magnitude of a vector is its size or amount, which is the numerical value of the vector, irrespective of its direction.

  4. Q4. The change in position of an object is an example of a:

    • ADimensionless quantity
    • BScalar quantity
    • CBoth scalar and vector
    • DVector quantity
    Show answer & explanation

    Correct answer: D — Vector quantity

    Change in position, or displacement, is a vector quantity because it specifies both the amount of change and the direction of change.

  5. Q5. If two vectors acting on a particle are equal in magnitude and opposite in direction, what is the resultant vector?

    • AThe difference of their magnitudes
    • BZero
    • CThe product of their magnitudes
    • DThe sum of the magnitudes
    Show answer & explanation

    Correct answer: B — Zero

    When two vectors are equal in magnitude and opposite in direction (antiparallel), their resultant vector is the zero vector.

  6. Q6. The magnitude of the resultant of two perpendicular vectors is given by:

    • AThe sum of the magnitudes
    • BThe difference of the magnitudes
    • CThe cross product of the magnitudes
    • DThe product of the magnitudes
    Show answer & explanation

    Correct answer: D — The product of the magnitudes

    If two vectors are perpendicular, the magnitude of their resultant vector is found using the Pythagorean theorem, which is related to the dot product (magnitude calculation).

  7. Q7. If two quantities, A and B, are scalars, then the sum (A+B) must also be a scalar. This property is known as:

    • ATriangle Law
    • BVector Addition Law
    • CAssociative Law
    • DCommutative Law
    Show answer & explanation

    Correct answer: D — Commutative Law

    Scalar addition follows the standard laws of arithmetic, meaning the sum of two scalars is always a scalar.

  8. Q8. If two vectors are equal in magnitude but opposite in direction, their resultant vector sum is:

    • AZero vector
    • BDouble the magnitude
    • CThe magnitude of the resultant vector
    • DThe direction of the first vector
    Show answer & explanation

    Correct answer: A — Zero vector

    If two vectors are equal in magnitude and opposite in direction, they cancel each other out, resulting in a zero vector.

  9. Q9. The quantity that has both magnitude and direction is known as a:

    • ADensity
    • BMass
    • CVector
    • DScalar
    Show answer & explanation

    Correct answer: C — Vector

    A vector quantity is defined as a physical quantity that requires both magnitude and a specific direction for its complete description.

  10. Q10. If the magnitude of a vector A⃗ is 5 units and its direction is 30° above the positive x-axis, what is the vector quantity?

    • AA vector with magnitude 5 and direction 30°
    • B5 units
    • C30°
    • DA scalar value of 5
    Show answer & explanation

    Correct answer: A — A vector with magnitude 5 and direction 30°

    A vector requires both magnitude and direction to be fully described. The option correctly defines the vector as having both properties.

  11. Q11. If two vectors are given, the sum of the two vectors must be a:

    • AVector quantity
    • BScalar quantity
    • CUnit vector
    • DMagnitude only
    Show answer & explanation

    Correct answer: A — Vector quantity

    The sum of two vectors (vector addition) results in a new vector quantity, which has both magnitude and direction.

  12. Q12. The dot product of two vectors always results in a:

    • AVector quantity
    • BScalar quantity
    • CAngular quantity
    • DUnit vector
    Show answer & explanation

    Correct answer: B — Scalar quantity

    The dot product (A⃗ · B⃗ = |A⃗||B⃗|cos θ) results in a scalar quantity, which measures the projection of one vector onto another.

  13. Q13. If two vectors are perpendicular to each other, what is the angle between them?

    • A180°
    • B0°
    • C90°
    • D30°
    Show answer & explanation

    Correct answer: C — 90°

    If two vectors are perpendicular (orthogonal), the angle measured between them is 90 degrees.

  14. Q14. Which of the following physical quantities is a scalar quantity?

    • AAcceleration
    • BDisplacement
    • CVelocity
    • DDistance
    Show answer & explanation

    Correct answer: D — Distance

    Distance and mass are scalars. Distance measures the total path covered, and mass is a scalar quantity (magnitude only). Displacement and velocity are vectors, as they require direction.

  15. Q15. Which of the following is a scalar quantity?

    • AVelocity
    • BEnergy
    • CMomentum
    • DPosition vector
    Show answer & explanation

    Correct answer: B — Energy

    Energy and position (in the context of a single point) are scalars. Momentum and velocity are vectors because they involve direction.

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