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Question

The vector P=a^i+a^j+3^k and  Q=a^i2^j^k are perpendicular to each other. The positive value of a is
  1. 3
  2. 4
  3. 9
  4. 1


Solution

The correct option is A 3
P=a^i+a^j+3^k
Q=a^i2^j^k
P.Q=0
a22a3=0
a23a+a3=0
a(a3)+1(a3)=0
a=1,3

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