3-1.Vectors
medium

જો $ |\,\vec A + \vec B\,|\, = \,|\,\vec A\,| + |\,\vec B\,| $ હોય, તો $ \vec A $ અને $ \vec B $ વચ્ચેનો ખૂણો ....... $^o$ હશે.

A

$90$

B

$120$

C

$0$

D

$60$

(AIPMT-2001)

Solution

(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 |$

Standard 11
Physics

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