Find a unit vector perpendicular to each of the vector a-b- and a-b- where a-k- and b-2 -3 k-

Given, nbsp;a=î+ĵ+k̂ and nbsp;b=î+2ĵ+3k̂ nbsp; ⇒a+b=2î+3ĵ+4k̂ and nbsp;a b= ĵ 2k̂ nbsp; A vector which is perpendicular to both nbsp; (a+b) and ...

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Vector Component

Find a unit v...

Question

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

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\to a + \to b

\to a - \to b

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

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

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

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

\to a + \to b

\to b + \to c

\to a + \to b

\to a - \to b

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

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

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

\to c = -^i + 2^i -^k . A

\to a + \to b

\to b + \to c

\to a =^i +^j +^k, \to b = 2^i -^j + 3^k

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

2 \to a - \to b + 3 \to c

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