Mathematics

Problem

A vector in three-dimensional space has components

P_x = 4\,\text{N}

P_y = -2\,\text{N}

and

P_z = 5\,\text{N}

. Calculate: (i) the magnitude of the vector, (ii) the direction cosines with respect to the

x

y

and

z

axes, and (iii) the unit vector along this direction.