If vector A x vector B = vector B x vector A ,then the angle between A and B is
If vector A x vector B = vector B x vector A ,then the angle between A and B is
(a) π
(b) π/3
(c) π/2
(d) π/4.
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Answer is (a) π
\(\vec{A}\times\vec{B}\) = AB sinθ \(\hat{n}\)
\(\vec{B}\times\vec{A}\) = AB sin(2π - θ)\(\hat{n}\)
AB sinθ \(\hat{n}\) = AB sin(2π - θ)\(\hat{n}\)
θ = 2π - θ
2θ = 2π
θ = π
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