If |A+B|=|A|+|B|, then angle between A and B will be - Vidyadip

MCQ

If $|\vec{A}+\vec{B}|=|\vec{A}|+|\vec{B}|$, then angle between $\vec{A}$ and $\vec{B}$ will be

A
$90^{\circ}$
B
$120^{\circ}$
✓
$0^{\circ}$
D
$60^{\circ}$

✓

Answer

Correct option: C.

$0^{\circ}$

(c) Resultant of two vectors $\vec{A}$ and $\vec{B}$ can be given by$\begin{aligned}& \vec{R}=\vec{A}+\vec{B} \\& |\vec{R}|=|\vec{A}+\vec{B}|=\sqrt{A^2+B^2+2 A B \cos \theta}\end{aligned}$If $\theta=0^{\circ}$ then $|\vec{R}|=A+B=|\vec{A}|+|\vec{B}|$

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