The magnitude of a given vector with end poin | vedclass

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(D) Let the initial point be $P(4, -4, 0)$ and the terminal point be $Q(-2, -2, 0)$.The vector $\vec{r}$ is given by $\vec{r} = \vec{Q} - \vec{P}$.$\v

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$2\sqrt{10}$

Vedclass · Answer

(D) Let the initial point be $P(4, -4, 0)$ and the terminal point be $Q(-2, -2, 0)$.The vector $\vec{r}$ is given by $\vec{r} = \vec{Q} - \vec{P}$.$\vec{r} = (-2 - 4)\hat{i} + (-2 - (-4))\hat{j} + (0 - 0)\hat{k}$.$\vec{r} = -6\hat{i} + 2\hat{j} + 0\hat{k}$.The magnitude of the vector is $|\vec{r}| = \sqrt{(-6)^2 + (2)^2 + (0)^2}$.$|\vec{r}| = \sqrt{36 + 4} = \sqrt{40}$.$|\vec{r}| = \sqrt{4 	imes 10} = 2\sqrt{10}$.

The magnitude of a given vector with end points $(4, -4, 0)$ and $(-2, -2, 0)$ is:

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