Question

Find the magnitude and direction of the
vectors:-
A) which displaces A(√3,1)to B(2√3,2)

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Answer 1

Magnitude is distance between points

$\\ \rm{:}\dashrightarrow AB=\sqrt{(2\sqrt{3}-\sqrt{3})^2+(2-1)^2}=\sqrt{3+1}=2units$

Direction is slope

$\\ \rm{:}\dashrightarrow \alpha=tan^{-1}(\dfrac{2-1}{\sqrt{3}})$

$\\ \rm{:}\dashrightarrow \alpha=tan^{-1}(\dfrac{1}{\sqrt{3}})$

$\\ \rm{:}\dashrightarrow \alpha=\dfrac{\pi}{6}$