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If \vec{a},\, \vec{b},\, \vec{c}represents vectors \overrightarrow{AB},\: \overrightarrow{BC},\: \overrightarrow{CA} of triangle than \vec{a}+\vec{b}+\vec{c} equals

Option: 1

\vec{0}


Option: 2

\hat{i}


Option: 3

\hat{j}


Option: 4

\hat{k}


Answers (1)

best_answer

As we learned

Triangle law of addition -

If two vectors are given by two consecutive sides of a triangle, then the closing side gives sum of these two vectors.

-

 

 \overrightarrow{AB}+\overrightarrow{BC}=\overrightarrow{AC}=\vec{a}+\vec{b}\, \, and\, \overrightarrow{CA}=\vec{c}

\Rightarrow \vec{a}+\vec{b}+\vec{c}=\overrightarrow{AC}+\overrightarrow{CA}=\overrightarrow{AC}-\overrightarrow{AC}=\vec{0}

So, Option (A)

 

Posted by

Pankaj Sanodiya

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