3-1.Vectors
medium

સદિશ $ (\hat i + \hat j) $ અને $ (\hat j + \hat k) $ વચ્ચેનો ખૂણો ....... $^o$ થશે.

A

$30$

B

$45$

C

$60$

D

$90$

Solution

(c) $(\hat i + \hat j).(\hat j + \hat k) = 0 + 0 + 1 + 0 = 1$

$\cos \theta = \frac{{\vec A.\vec B}}{{|\vec A||\vec B|}} = \frac{1}{{\sqrt 2 \times \sqrt 2 }} = \frac{1}{2}$ 

$\theta = 60^\circ $

Standard 11
Physics

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