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Question

# A plane mirror is moving with velocity 4^i+5^j+8^k. A point object in front of the mirror moves with a velocity 3^i+4^j+5^k Here ^k is along the normal to the plane mirror and facing towards the object. The velocity of the image is-

A
3^i4^j+5^k
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B
3^i+4^j+11^k
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C
4^i+5^j+11^k
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D
7^i+9^j+11^k
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Solution

## The correct option is D 3^i+4^j+11^kThe velocity of plane mirror =4^i+5^j+8^kPoint Velocity =3^i+4^j+5^kVelocity along normal changes but velocity ⊥ to normal remain constant.→Valongnormal=→VIm→K=(2)(8)−(5)∴→V=+[3^i+4^j]+11^k

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