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  • The components of the sum of vectors <img alt="2\hat{i}+3\hat{j}\And 2\hat{j}+3\hat{k}" src="https://entrancecorner.oncodecogs.com/gif.latex?2%5Chat%7Bi%7D&plus;3%5Chat%7Bj%7D%5CAnd%202%5Chat%7

The components of the sum of vectors 2\hat{i}+3\hat{j}\And 2\hat{j}+3\hat{k} along x and y respectively are

 

Option: 1

2 and 5


Option: 2

4 and 6


Option: 3

2 and 6

 


Option: 4

4 and 3


Answers (1)

\\\vec{P}=2\hat{i}+3\hat{j} \\ \vec{Q}=2\hat{j}+3\hat{k} \\

Their resultant is , 

\\\vec{R}=(2\hat{i}+3\hat{j})+(2\hat{j}+3\hat{k}) \\ \vec{R}=(2\hat{i}+5\hat{j}+3\hat{k}) \\

Thus, the component of the resultant along x and y directions are,

{{R}_{x}}=2

{{R}_{y}}=5

Posted by

Kshitij

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