Let be a point in space.

MATHEMATICS · Multi-part · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Let

P(2,-1,4)

be a point in space. (a) Write its position vector

\mathbf{r}

. (b) Calculate

|\mathbf{r}|

. (c) Determine the direction cosines of

\mathbf{r}

. (d) Hence, write the unit vector along

\mathbf{r}