Q4 of 34 Page 1030

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



(





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


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