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The axes of coordinates are rotated a...

The axes of coordinates are rotated about the z-axis though an angle of `pi//4` in the anticlockwise direction and the components of a vector are 2`sqrt(2),` 3`sqrt(2), 4.` Prove that the components of the same vector in the original system are -1,5,4.

A

`5, -1, 4`

B

`5, -1, 4sqrt(2)`

C

`-1,-5,4sqrt(2)`

D

`-1,5,4`

Text Solution

Verified by Experts

The correct Answer is:
D
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