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Pure Rotation about an Axis

A⃗ and B⃗ a...

Question

$\to A$ and $\to B$ are two vectors such that $\to A + \to B = \to C$ in a given coordinate system. The axes are rotated by $θ$ . Then in new coordinate system:

A

\to A + \to B = \to C

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B

\to A + \to B \neq \to C

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C

\to A \times \to B

(old system)

= \to A \times \to B

(new system)

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D

\to A

and

\to B

(interchange in new system)

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Solution

The correct option is A $\to A + \to B = \to C$
$\to A$ and $\to B$ are two vectors such that $\to A + \to B = \to C$ and axes are rotated by $θ$ .
Now, by this rotation vectors $\to A$ and $\to B$ rotated and their sum $\to C$ will also rotate.
Therefore, the final expression remains the same: $\to A + \to B = \to C$

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Similar questions

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