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3-1.Vectors
medium
सदिश $A = 2\hat i + 3\hat j$ का सदिश $\hat i + \hat j$ के अनुदिश घटक है
A
$\frac{5}{{\sqrt 2 }}$
B
$10\sqrt 2 $
C
$5\sqrt 2 $
D
$5$
Solution
(a) $\frac{{\overrightarrow A .\overrightarrow B }}{{|\vec i + \vec j|}} = \frac{{(2\hat i + 3\hat j)\,(\hat i + \hat j)}}{{\sqrt 2 }}$$ = \frac{{2 + 3}}{{\sqrt 2 }} = \frac{5}{{\sqrt 2 }}$
Standard 11
Physics