Find the unit vector along a- -b- where a- - -3- -k- and b- -3- -2- -k-

a =î +3ĵ k̂ , b =3î +2ĵ +k̂ a b = 2î +ĵ 2k̂ Unit vector along a b = a b #160; | a b | #160; | a b |=√(( 2)^2+1^ ...

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Unit Vectors

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Question

Find the unit vector along $\to a - \to b$ , where $\to a =^i + 3^j -^k$ and $\to b = 3^i + 2^j +^k$ .

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\to A = 3^i + 2^j

\to B = 2^i + 3^j -^k

(\to A - \to B)

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

\to a \times (\to b \times \to c)

(\to a \times \to b) \times \to c

\to a = 2^i - 5^j + 8^k, \to b =^i - 3^j -^k, \to c = - 3^i - 2^j -^k

| \to a + \to b + \to c |

\to a

\to b

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

\to b =^i - 2^j - 3^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

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