यदि A^ → = 4î - 3ĵ तथा B^ → = 6î + 8ĵ तो A

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  • यदि A^ → = 4î - 3ĵ तथा B^ → = 6î + 8ĵ तो A

यदि $\mathop A\limits^ \to = 4\hat i - 3\hat j$ तथा $\mathop B\limits^ \to = 6\hat i + 8\hat j$ तो $\mathop A\limits^ \to \, + \mathop B\limits^ \to $ का परिमाण तथा दिशा होगी

A

$5,\,{\tan ^{ - 1}}(3/4)$

B

$5\sqrt 5 ,{\tan ^{ - 1}}(1/2)$

C

$10,\,{\tan ^{ - 1}}(5)$

D

$25,\,{\tan ^{ - 1}}(3/4)$

यदि $\mathop A\limits^ \to = 4\hat i - 3\hat j$ तथा $\mathop B\limits^ \to = 6\hat i + 8\hat j$ तो $\mathop A\limits^ \to \, + \mathop B\limits^ \to $ का परिमाण तथा दिशा होगी

$\mathop A\limits^ \to + \mathop B\limits^ \to = 4\hat i - 3\hat j + 6\hat i + 8\hat j\,\, = 10\hat i + 5\hat j$

$|\mathop A\limits^ \to + \mathop B\limits^ \to |\, = \,\sqrt {{{(10)}^2} + {{(5)}^2}} $ $ = \,5\sqrt 5 $

$\tan \theta = \frac{5}{{10}} = \frac{1}{2}$ $ \Rightarrow $$\theta = {\tan ^{ - 1}}\left( {\frac{1}{2}} \right)$