Question

# Assertion: Vector product of two vectors is an axial vector. Reason: For a body under rotation, if →v= instantaneous velocity, →r= radius vector and →ω= angular velocity, then →ω=→v×→r.

A
If both assertion and reason are true and reason is the correct explanation of assertion.
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B
If both assertion and reason are true and reason is not the correct explanation of assertion.
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C
If assertion is true but reason is false
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D
If both assertion and reason are false
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Solution

## The correct option is C If assertion is true but reason is falseAxial vector is a vector which does not change its sign on changing the coordinate system to a new system by a reflection in the origin. When the direction of the coordinate axes are inverted, the cross product of two vectors will not change sign. Hence cross product of two vectors is an axial vector. We also know that the relation between linear and angular velocity is, →v=→ω×→r Hence reason is false. Option C is the correct answer.

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