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  • If  aretaken in order as the vectors alongsides of triangles

If \vec{a},\vec{b},\vec{c} aretaken in order as the vectors alongsides of triangles ABC, than wrong statement is

Option: 1

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


Option: 2

\left | \vec{a}+\vec{b} \right |=\left | \vec{c} \right | 


Option: 3

\left | \vec{b}+\vec{c} \right |=\left | \vec{a} \right |


Option: 4

None of these


Answers (1)

best_answer

As we learned

Vector Addition -

If vectors \vec{a}, \vec{b} and \vec{c} taken in order are represented by the sides of a triangle ABC, then \vec{a}+\vec{b}+\vec{c}=\vec{0}

-

 

 \because \vec{a},\vec{b},\vec{c} are taken in order along sides of triangle ABC

\therefore \vec{a}+\vec{b}=-\vec{c},\, \, \vec{b}+\vec{c}=-\vec{a}

So, taking their modules, we got

\left | \hat{a}+\hat{b} \right |=\left | \vec{c} \right |\, \, \, and\, \, \, \left | \hat{b}+\hat{c} \right |=\left | \vec{a} \right |

\therefore Option (D)

 

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