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A vector a has components a1,a2,a3 in a...

A vector `a` has components ` a_1,a_2,a_3` in a right handed rectangular cartesian coordinate system `OX,OY,OZ` the coordinate axis is rotated about `z` axis through an angle `pi/2`. The components of `a` in the new system

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The correct Answer is:
`(a_(2),-a_(1),a_(3))`
Here, a is rotated about Z-axis the X-component off a will remain unchanged namely `a_(3)`.

Now, if it is turned through an angle `(pi)/(2)`. As shown in adjoining figure.
`therefore` Now component are `(a_(2),-a_(1),a_(3))`.
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