A vector of magnitude units makes direction cosines with the -axis and with the -axis

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

Problem

A vector of magnitude

9

units makes direction cosines

\dfrac{2}{3}

with the

x

-axis and

-\dfrac{2}{3}

with the

y

-axis. If it makes an acute angle with the positive

z

-axis, determine the vector in component form.