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TS EAMCET · Maths · Vector Algebra

If b=2i^-j^-k^, a=3i^+4j^-5k^ and b×(a×b)=a-kbl then kl|b| is

  1. A the orthogonal projection of b on a and equal to 750
  2. B the orthogonal projection of a on b and equal to 76
  3. C the orthogonal projection of b in the direction perpendicular to a and equal to 53
  4. D the orthogonal projection of a in the direction perpendicular to b and equal to 7523
Verified Solution

Answer & Solution

Correct Answer

(B) the orthogonal projection of a on b and equal to 76

Step-by-step Solution

Detailed explanation

Given, b→=2i^-j^-k^ and a→=3i^+4j^-5k^ So, b→×a→×b→=b→·b→a→-b→·a→b→=6a→-7b→=a→-76b→16  ...1 As given,…