Answer
$\sqrt {35}$
Work Step by Step
Note: The vectors can be rewritten using <>, so
w = <3, -1, -5>
To find ||w||, the magnitude, we follow the formula $\sqrt {w∙w}$ =$\sqrt {x^{2} + y^{2} + z^{2}}$ where . Using the numbers from the w vector we have:
$\sqrt {3^{2} + (-1)^{2} + (-5)^{2}}$ = $\sqrt {9 + 1 + 25}$ = $\sqrt {35}$
$\sqrt {35}$ is the magnitude.