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NEET UG PHYSICS MCQ: MOTION IN PLANE

1 Hard

1 of 1

Application +4 | -1

If

\mathbf{a}+\mathbf{b}+\mathbf{c}=0

, then

\mathbf{a} \times \mathbf{b}

is equal to

View answer and explanation

Correct option: A

\mathbf{b} \times \mathbf{c}

Option A (

\mathbf{b} \times \mathbf{c}

) is correct because if

\mathbf{a} + \mathbf{b} + \mathbf{c} = 0

, then

\mathbf{a} = -(\mathbf{b} + \mathbf{c})

, and

\mathbf{a} \times \mathbf{b} = -(\mathbf{b} + \mathbf{c}) \times \mathbf{b} = -(\mathbf{b} \times \mathbf{b} + \mathbf{c} \times \mathbf{b}) = -\mathbf{c} \times \mathbf{b} = \mathbf{b} \times \mathbf{c}

.

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