A vector has components and in a right handed rectangular cartesian system

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

A vector

\mathbf{a}

has components

a_1, a_2

and

a_3

in a right handed rectangular cartesian system

OXYZ

. The coordinate system is rotated about

Z

-axis through angle

\frac{\pi}{2}

. Find components of

\mathbf{a}

in the new system.