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Q.

A vector a has components a1, a2, a3 in the right handed system OXYZ. If the coordinate system is rotated about z-axis through an angle π/2 , the component of a in the new system are

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a

a2, a1, a3

b

-a2, a1, a3

c

a2 , -a1 , a3

d

-a2, -a1, a3

answer is A.

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Detailed Solution

(-a2, a1, a3)

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A vector a has components a1, a2, a3 in the right handed system OXYZ. If the coordinate system is rotated about z-axis through an angle π/2 , the component of a in the new system are