Classical Mechanics

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Difficult

Components of a Rotated Vector

CLMECH-VEW0JG

Vector $\vec { r } =40\hat { i } -10\hat { j }$ is rotated in the $xy$ plane so that its $y$-component is doubled.

How much is its new $x$-component?

A

$36$

B

$1700$

C

$1300$

D

$30$

E

$80$