A vector is represented by 3,hat i + hat j + | vedclass

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(C) Given vector $\vec{R} = 3\hat{i} + \hat{j} + 2\hat{k}$.To find the length of the vector in the $XY$ plane,we consider only the $x$ and $y$ compone

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$\sqrt{10}$

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(C) Given vector $\vec{R} = 3\hat{i} + \hat{j} + 2\hat{k}$.To find the length of the vector in the $XY$ plane,we consider only the $x$ and $y$ components of the vector.The $x$-component is $R_x = 3$ and the $y$-component is $R_y = 1$.The length in the $XY$ plane is given by the formula $\sqrt{R_x^2 + R_y^2}$.Substituting the values: $\sqrt{3^2 + 1^2} = \sqrt{9 + 1} = \sqrt{10}$.

$A$ vector is represented by $3\,\hat i + \hat j + 2\,\hat k$. Its length in the $XY$ plane is

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