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Using triangle law of vector addition, explain the process of adding two vectors which are not lying in a straight line.

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i. Two vectors in magnitude and direction are drawn in a plane as shown in figure (a)

Let these vectors be \(\overset\rightarrow{P}\) and \(\overset\rightarrow{Q}\)

ii. Join the tail of \(\overset\rightarrow{Q}\) to head of \(\overset\rightarrow{P}\) in the given direction. The resultant vector will be the line which is obtained by joining tail of \(\overset\rightarrow{P}\) to head of \(\overset\rightarrow{Q}\) as shown in figure (b).

iii. If \(\overset\rightarrow{R}\) is the resultant vector of \(\overset\rightarrow{P}\) and \(\overset\rightarrow{Q}\) then using triangle law of vector addition, we have, \(\overset\rightarrow{R}=\overset\rightarrow{P}+\overset\rightarrow{Q}\)

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