The projection of a vector vec{r} = 3hat{i} + | vedclass

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(D) The projection of a vector $\vec{r} = x\hat{i} + y\hat{j} + z\hat{k}$ on the $xy$-plane is given by the vector $\vec{r}_{xy} = x\hat{i} + y\hat{j}

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$\sqrt{10}$

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(D) The projection of a vector $\vec{r} = x\hat{i} + y\hat{j} + z\hat{k}$ on the $xy$-plane is given by the vector $\vec{r}_{xy} = x\hat{i} + y\hat{j}$.Given $\vec{r} = 3\hat{i} + 1\hat{j} + 2\hat{k}$,the projection on the $xy$-plane is $\vec{r}_{xy} = 3\hat{i} + 1\hat{j}$.The magnitude of this projection is $|\vec{r}_{xy}| = \sqrt{3^2 + 1^2} = \sqrt{9 + 1} = \sqrt{10}$.

The projection of a vector $\vec{r} = 3\hat{i} + \hat{j} + 2\hat{k}$ on the $xy$-plane has magnitude:

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