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Question

A vector a has components a1, a2, a3 in a right handed rectangular cartesian coordinates system OXYZ. The coordinate system rotated about y-axis through an angle π2 The components of a in the new system are

A
(a1,a2,a3)
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B
(a2,a1,a3)
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C
(a3,a2,a1)
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D
(a3,a2,a1)
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Solution

The correct option is C (a3,a2,a1)
Given a=(a1,a2,a3)
Since the coordinate system OXYZ is rotated about y-axis through an angle of π2, so y component will remain same and new z-axis is along OX,and new x-axis is along OZ'
So, the new component of a are (a3,a2,a1)

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