First slide

Vectors

Question

If $\vec{A} and \vec{B}$ are two vectors, which of the following is not correct?

Moderate

A

$\vec{A} + \vec{B} = \vec{B} + \vec{A}$
B

$\vec{A} . \vec{B} = \vec{B} . \vec{A}$
C

$\vec{A} \times \vec{B} = \vec{B} \times \vec{A}$
D

$\vec{A} - \vec{B} = - (\vec{B} - \vec{A)}$

Solution

Vector product of two vectors is not commutative.
$i . e ., \vec{A} \times \vec{B} \neq \vec{B} \times \vec{A}$
$\vec{A} \times \vec{B} = - \vec{B} \times \vec{A}$

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