Question

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

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

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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