For what value of - the vectors a-2-3-k- and b-2k- are perpendicular to each other-

Given: a⃗ = 3 î 3 λĵ + k̂ b⃗ = î + ĵ 2 k̂ ∵a⃗⊥b⃗ ∴a⃗·b⃗ = 0 ( #160;3 î 3 λĵ + k̂) ·( î + ĵ 2 k̂) = 0 ⇒ 3 3 λ 2 = 0 ...

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For what valu...

Question

For what value of $λ$ , the vectors $\to a = 2^i - 3 λ^j +^k$ and $\to b =^i +^j - 2^k$ are perpendicular to each other?

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λ

\to a = 5^i + λ^j +^k

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

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

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

\to b

\to c

\to a

\sqrt{(2 / 3)}

λ

λ^i + (1 + λ)^j + (1 + 2 λ)^k

(1 - λ)^i + λ^j + 2^k

- 2^i +^j +^k,^i +^j +^k,^j -^k

λ^j +^k

λ

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

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

\to v

\to a

\to b

\to c

\frac{1}{\sqrt{3}}

;

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