Question

A vector A has components A₁, A₂, A₃ in a right handed rectangular cartesian co-ordinate system OXYZ. The co-ordinate system is rotated about the x-axis through an angle π/2 . Find the components of A in the new co-ordinate system in terms of A₁, A₂, A₃.

Answer 1

Let i, j, k be the unit vectors along the positive directions of x, y and z axes respectively.