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Question

If a=4^i+6^j and b=3^j+4^k, then the vector form of the component of a along b is
  1. 18(3^j+4^k)103
  2. 18(3^j+4^k)25
  3. 3^j+^k
  4. 18(3^j+4^k)13


Solution

The correct option is B 18(3^j+4^k)25
Vector form of the component of a along b is
(a.b)b|b2|=[(4^i+6^j).(3^j+4^k)](3^j+4^k)|3^j+4^k|2=(0+18+0)(3^j+4^k)9+16=1825(3^j+4^k).
 

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