If a - - - - b - - - - 2k- then the value of a- 2b - a- b is

A 2b = (î ĵ) 2 ( ĵ+ 2k̂) nbsp; = (î ĵ) +2ĵ 4 k̂ = (î+ ĵ 4 k̂) (a+b) = (î ĵ)+ ( ĵ+ 2 k̂) = î ĵ ĵ + 2 k̂ = ( î 2 ĵ+ 2k̂) Now ,(a 2 b). (a+ b) ...

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Multiplication with Vectors

If a = î - ĵ,...

Question

If $\to a =^i -^j, \to b = -^j + 2^k$ , then the value of $(\to a - 2 \to b) . (\to a + \to b)$ is

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

(\to a - 2 \to b) . (\to a + \to b)

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

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

(1 + α)^i + β (1 + α)^j + γ (1 + α) (1 + β)^k

α - β - 3 γ

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

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

{∣ ∣^i \times (\to a \times^i) ∣ ∣}^{2} + {∣ ∣^j \times (\to a \times^j) ∣ ∣}^{2} + {∣ ∣^k \times (\to a \times^k) ∣ ∣}^{2}

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

b = 2^i -^j -^k

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

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