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√(3)-√(3))^2+(2-1)^2}=√(3+1)=2units`

Direction is slope

`\\ \rm{:}\dashrightarrow \alpha=tan^(-1)((2-1)/(√(3)))`

`\\ \rm{:}\dashrightarrow \alpha=tan^(-1)((1)/(√(3)))`

`\\ \rm{:}\dashrightarrow \alpha=(\pi)/(6)`