If $\overrightarrow A = 4\hat i - 3\hat j$ and $\overrightarrow B = 6\hat i + 8\hat j$ then magnitude and direction of $\overrightarrow A \, + \overrightarrow B $ will be
If $\overrightarrow A = 4\hat i - 3\hat j$ and $\overrightarrow B = 6\hat i + 8\hat j$ then magnitude and direction of $\overrightarrow A \, + \overrightarrow B $ will be
- A
$5,\,{\tan ^{ - 1}}(3/4)$
- B
$5\sqrt 5 ,{\tan ^{ - 1}}(1/2)$
- C
$10,\,{\tan ^{ - 1}}(5)$
- D
$25,\,{\tan ^{ - 1}}(3/4)$
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$(a)$ $\vec{a}+\vec{b}$
$(b)$ $3 a_x+2 b_y$
$(c)$ $(\vec{a}+\vec{b}-\vec{c})$