If a-3-5k- and b-2-k- then find a unit vector in the direction of a-b-

a=3î+ĵ 5k̂ and b=î+2ĵ k̂ a b =(3 1)î+(1 2)ĵ+( 5 ( 1))ĥ #160; #160; #160; #160; #160; =2î ĵ 4k̂ |a b| =√((2) ...

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Linear Combination of Vectors

If a⃗=3î+ĵ-...

Question

If $\to a = (3^i +^j - 5^k)$ and $\to b = (^i + 2^j -^k)$ then find a unit vector in the direction of $(\to a - \to b)$

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Solution

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\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

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

\to b = -^i +^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 + \to b)

(\to a - \to b),

\to a =^i +^j +^k,

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

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

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

\to c =^i -^j - 4^k

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

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

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