If θ is the angle between any two vectors veca and vecb, then |veca.vecb| = |veca xx vecb| when θ is equal to ______.

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If θ is the angle between any two vectors veca and vecb, then |veca.vecb| = |veca xx vecb| when θ is equal to underline(pi/4). Explanation: Let θ be the angle between two vectors veca and vecb. Then, without loss of generally, veca and vecb are non-zero vectors, so that |veca∣and |vecb| are positive. |veca.vecb| = |veca xx vecb| ⇒ `|veca||vecb|cosθ = |veca||vecb|sinθ ⇒ cosθ = sinθ [veca and vecb` are positive] ⇒ tanθ = 1 ⇒ θ = pi/4 Hence, |veca.vecb| = |veca xx vecb| when θ is equal to pi/4. The correct answer is pi/4.

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