If and then find the value of λ so that and are orthogonal vectors.

Question

Philoid · Accepted Answer

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Now

Since these two vectors are orthogonal,their dot product is zero.

⇒ (6 × - 4) + ( - 2 × 0) + ( (7 + λ) × (7 - λ)) = 0
⇒ - 24 + 0 + (49 - λ²) = 0

⇒ λ² = 25

⇒ λ = ±5

Ans: λ = ±5