Choose the correct answer
If θ is the angle between any two vectors a and b, then |a⋅b|=|a×b|, when θ is equal to
a) Zero
b) π4
c) π2
d) π
We have |a⋅b|=|a×b|⇒|a||b|cos θ=|a||b| sin θ
⇒cos θ=sin θ [|a| and |b| are positive]
⇒tan θ=1⇒tan θ=tanπ4⇒θ=π4
Hence, the value of θ=π4.