MCQ
If $|\,\vec A + \vec B\,|\, = \,|\,\vec A\,| + |\,\vec B\,|$, then angle between $\vec A$ and $\vec B$ will be ....... $^o$
  • A
    $90$
  • B
    $120$
  • $0$
  • D
    $60$

Answer

Correct option: C.
$0$
c
(c) Resultant of two vectors $\overrightarrow A $ and $\overrightarrow B $ can be given by

$\overrightarrow R = \overrightarrow A + \overrightarrow B $

$|\overrightarrow R |\, = \,|\overrightarrow A + \overrightarrow B |\, = \sqrt {{A^2} + {B^2} + 2AB\cos \theta } $

If $\theta = 0^\circ $ then $|\overrightarrow R |\, = A + B$$ = \,|\overrightarrow A | + |\overrightarrow B |$

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