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Question

Angle between the vectors a=^i+2^j+^k  and  b=x^i+^j+(x2)^k
  1. is obtuse angle
  2. is acute angle
  3. is 90
  4. depends upon x


Solution

The correct option is C is 90
a=^i+2^j+^k b=x^i+^j+(x2)^k
cosθ=a.b|a||b|
cosθ=x+2+x2abcosθ=0
θ=90

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