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If `Veca = 2hati + 2hatj + 3hatk , Vecb = -veci + 2hatj + Hatk and Vecc = 3hati + Hatj` Are Such that `Veca + Lambdavecb` is Perpendicular to `Vecc`, Then Find the Value Of λ. - CBSE (Science) Class 12 - Mathematics

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Question

If `veca = 2hati + 2hatj + 3hatk , vecb = -veci + 2hatj + hatk and vecc = 3hati + hatj` are such that `veca + lambdavecb` is perpendicular to `vecc`, then find the value of λ.

Solution

Hence, the required value of λ is 8.

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Solution If `Veca = 2hati + 2hatj + 3hatk , Vecb = -veci + 2hatj + Hatk and Vecc = 3hati + Hatj` Are Such that `Veca + Lambdavecb` is Perpendicular to `Vecc`, Then Find the Value Of λ. Concept: Product of Two Vectors - Projection of a Vector on a Line.
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