A vector of magnitude 8 units is inclined to X-axis at , Y-axis at and an acute angle…

MATHEMATICS · Subjective · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

A vector

\mathbf{n}

of magnitude 8 units is inclined to X-axis at

45^\circ

, Y-axis at

60^\circ

and an acute angle with Z-axis. If a plane passes through a point

(\sqrt{2}, -1, 1)

and is normal to

\mathbf{n}

, then find its equation in vector form.