Find a unit vector perpendicular to each of the vector and, where and.

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Solution

We have,

and

Hence, the unit vector perpendicular to each of the vectors and is given by the relation,

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Find a unit vector perpendicular to each of the vectors a + b and a - b, where $a = 3^i + 2^j + 2^k$ and $b =^i + 2^j - 2^k$

Find a unit vector which is perpendicular to each of the vectors

$\to a + \to b and \to a - \to b, w h e r e \to a =^i -^j and \to b =^k -^i$ .

\to a + \to b

\to a - \to b

\to a = 3^i + 2^j + 2^k

\to b =^i + 2^j - 2^k

6^i + 2^j + 3^k

3^i - 2^k

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