If vec{P}+vec{Q}=overrightarrow{0} , then which of following is necessarily true?

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3-1.Vectors

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If $\vec{P}+\vec{Q}=\overrightarrow{0}$, then which of the following is necessarily true?

A

$\vec{P}=\overrightarrow{0}$

B

$\vec{P}=-\vec{Q}$

C

$\vec{Q}= 0$

D

$\vec{P}=\vec{Q}$

Solution

(b)

Given,

$\overrightarrow{ P }+\overrightarrow{ Q }=0$

$\Rightarrow \overrightarrow{ P }=-\overrightarrow{ Q }$

as given quantities are vectors, the sum of vectors opposite to each other has different signs.

Standard 11

Physics

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