Let a-2i-3j-4k and b-i-2k- then find an unit vector in the direction of 2a-b-

Given, a⃗=2i 3j+4k and b⃗=i 2k .Now, #160; 2a⃗ b⃗ =2(2i 3j+4k) (i 2k) =3i 6j+10k .Now, |2a⃗ b⃗|=√(3^2+6^2+10^2)=√(145) .So an uni ...

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Linear Combination of Vectors

Let a⃗=2i-3...

Question

Let $\to a = 2 i - 3 j + 4 k$ and $\to b = i - 2 k$ , then find an unit vector in the direction of $2 \to a - \to b$ .

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Solution

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(2 \to a - 5 \to b) . (3 \to a + \to b) =

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