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  4. The components of the sum of two vectors 2 hati+3 hatj and 2 hatj+3 hatk along x and y directions respectively are

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Q. The components of the sum of two vectors $ 2\hat{i}+3\hat{j} $ and $ 2\hat{j}+3\hat{k} $ along $x$ and $y$ directions respectively are

J & K CETJ & K CET 2010Motion in a Plane

Solution:

The sum of two vectors $2 \hat{i}+3 \hat{j}$ and $2 \hat{j}+3 \hat{k}=2 \hat{i}+5 \hat{j}+3 \hat{k}$
$\therefore $ Components in $x$ and $y$ directions are $2$ and $5$ respectively.