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Unit Vectors

If A + B is a...

Question

If $\to A + \to B$ is a unit vector along y - axis and $\to A =^i -^j +^k$ , then what is $\to B$ ?

A

^j +^k

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B

^j -^k

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C

^i +^j +^k

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D

-^i + 2^j -^k

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Solution

The correct option is D $-^i + 2^j -^k$
Unit vector along y-axis $=^j$
So, $\to A + \to B =^j$
$(^i -^j +^k) + \to B =^j$
$\to B = -^i + 2^j -^k$

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