Direction Cosines/Examples

Examples of Direction Cosines

Example

Let $\mathbf A$ be a vector quantity of magnitude $10$ embedded in Cartesian $3$-space.

Let $\mathbf A$ make equal angles with the coordinate axes $x$, $y$ and $z$.

Then the magnitudes of the components of $\mathbf A$ are all equal to $\dfrac {10 \sqrt 3} 3$.