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Q. The rectangular components of a vector are $(2,2)$. The corresponding rectangular components of another vector are $(1, \sqrt{3})$. Find the angle (in degree) between the two vectors.

Motion in a Plane

Solution:

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$\vec{A}=2 \hat{i}+2 \hat{j}$
$\vec{B}=\hat{i}+\sqrt{3} \hat{j}$
Angle between $\vec{A}$ and $\vec{B}$ is $(60-45)^{\circ}=15^{\circ}$.