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AP EAMCET · Maths · Vector Algebra

If V¯=2i¯+j¯-k¯, W¯=i¯+3k¯ and U¯ is a unit vector, then the maximum value of [U¯V¯W¯] is

  1. A 57
  2. B 59
  3. C 60
  4. D 10+6
Verified Solution

Answer & Solution

Correct Answer

(B) 59

Step-by-step Solution

Detailed explanation

It is given that, V→=2i^+j^-k^ W→=i→+3k^ The cross product is, V→×W→=i^j^k^21-1103 =i^3-0-j^6+1+k^0-1 =3i^-7j^-k^ Therefore, [U→V→W→]=U·(V→×W→) =|U→||V→×W→|cosθ…