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MHT CET · Maths · Vector Algebra

If the scalar triple product of the vectors -3i^+7j^-3k^,3i^-7j^+λk^ and 7i^-5j^-3k^ is 272 then λ=

  1. A 9
  2. B 11
  3. C 8
  4. D 10
Verified Solution

Answer & Solution

Correct Answer

(B) 11

Step-by-step Solution

Detailed explanation

Scalar triple product of the given vectors is 272.
-37-33-7λ7-5-3=272 ( scalar triple product of the vectors a, b and c is [a b c])
-321+5λ-7-9-7λ-3-15+49=272
-63-15λ+63+49λ-102=272
34λ-102=272
34λ=374
λ=11