For what value of - the vectors a -2 -k- and b -2 -3 k- are orthogonal-

A⃗.b⃗=0 ⇒ 2 + 2 λ + 3 = 0 ⇒λ = 5/2 ...

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Standard XII

Mathematics

Condition for Two Lines to be on the Same Plane

For what valu...

Question

For what value of $λ$ , the vectors $\to a = 2^i + λ^j +^k and \to b =^i + 2^j + 3^k are orthogonal.$

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Solution

$\to a . \to b = 0 \Rightarrow 2 + 2 λ + 3 = 0 \Rightarrow λ = \frac{- 5}{2}$

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For what value of λ, the vectors →a=2^i+λ^j+^k and →b=^i+2^j+3^k are orthogonal.

→a.→b=0⇒2+2λ+3=0⇒λ=−52

For what value of $λ$ , the vectors $\to a = 2^i + λ^j +^k and \to b =^i + 2^j + 3^k are orthogonal.$

$\to a . \to b = 0 \Rightarrow 2 + 2 λ + 3 = 0 \Rightarrow λ = \frac{- 5}{2}$