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Question: Which of the following is not a property of vectors...

Which of the following is not a property of vectors

A

u×v=v×u\mathbf{u} \times \mathbf{v} = \mathbf{v} \times \mathbf{u}

B

u.v=v.u\mathbf{u}.\mathbf{v} = \mathbf{v}.\mathbf{u}

C

(u×v)2=u2.v2−(u.v)2(\mathbf{u} \times \mathbf{v})^{2} = \mathbf{u}^{2}.\mathbf{v}^{2} - (\mathbf{u}.\mathbf{v})^{2}

D

u2=∣u∣2\mathbf{u}^{2} = |\mathbf{u}|^{2}

Answer

u×v=v×u\mathbf{u} \times \mathbf{v} = \mathbf{v} \times \mathbf{u}

Explanation

Solution

Vector product is not commutative.