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Question

The unit vector in the direction of $$\vec{A}=3 \hat {i}+4 \hat {j}$$ is :


A
^A=^i+^j7
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B
^A=3^i+4^j5
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C
^A=^i+^j
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D
^A=4^i3^j5
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Solution

The correct option is B $$\hat {A}=\displaystyle \frac {3\hat {i}+4\hat {j}}{5}$$
$$\left| \vec { A }  \right| =\sqrt { { 3 }^{ 2 }+{ 4 }^{ 2 } } =5$$
$$\hat { A } =\dfrac { \left( { 3 }\hat { i } +{ 4 }\hat { j }  \right)  }{ 5 } $$

Physics

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