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

Since, 2a b=2(î+ĵ+2k̂) (2î+ĵ 2k̂) =2î+2ĵ+4k̂ 2î ĵ+2k̂=ĵ+6k̂ ∴ Unit vector in the direction of 2a b =2a b/|2a b|=ĵ+6k̂/√(1+36)=ĵ+6k̂/√(37) ...

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Applications of Dot Product

If a =î+ĵ+2 k...

Question

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

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If $\to a =^i +^j + 2^k and \to b = 2^i +^j + 2^k,$ then find the unit vector in the direction of 6 $\to b$

For given vectors, $a = 2^i -^j + 2^k a n d b = -^i +^j -^k$ , find the unit vector in the direction of the vector $a + b$ .

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

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

\to A = 2^i -^j + 2^k; \to B = -^i - 2^j + 2^k

\to A - \to B

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

b = 2^i -^j -^k

c = - 2^i +^j + 3^k

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