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Classical Mechanics

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Moderate

Magnitude of a Vector Sum

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CLMECH-A3KEWR

Vectors $\vec { C }$ and $\vec { D}$ are perpendicular to each other. The magnitude of vector $\vec { C }$ is 5 and that of vector $\vec { D }$ is 8.

About how much is the magnitude of vector $(2\vec { C } -3\vec { D })$?

A

$14$

B

$676$

C

$26$

D

$-14$

E

$22$