Answer
7 is the magnitude.
Work Step by Step
Note: The vectors can be rewritten using <>, so
x = <6, -2, 3>
To find ||x||, the magnitude, we follow the formula $\sqrt {x∙x}$ =$\sqrt {a^{2} + b^{2} + c^{2}}$ where. Using the numbers from the w vector we have:
$\sqrt {6^{2} + (-2)^{2} + 3^{2}}$ = $\sqrt {36 + 4 + 9}$ = $\sqrt {49}$ = 7
7 is the magnitude.
