Find the direction cosines of the line passin | vedclass

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(C) The direction ratios of the line passing through $P(x_{1}, y_{1}, z_{1})$ and $Q(x_{2}, y_{2}, z_{2})$ are given by $(x_{2}-x_{1}, y_{2}-y_{1}, z_

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Both $A$ and $B$

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(C) The direction ratios of the line passing through $P(x_{1}, y_{1}, z_{1})$ and $Q(x_{2}, y_{2}, z_{2})$ are given by $(x_{2}-x_{1}, y_{2}-y_{1}, z_{2}-z_{1})$.For points $P(2, 3, 5)$ and $Q(-1, 2, 4)$,the direction ratios are $(-1-2, 2-3, 4-5) = (-3, -1, -1)$.The distance $PQ$ is $\sqrt{(-3)^{2} + (-1)^{2} + (-1)^{2}} = \sqrt{9 + 1 + 1} = \sqrt{11}$.The direction cosines are obtained by dividing the direction ratios by the distance $PQ$.Thus,the direction cosines are $\left(\frac{-3}{\sqrt{11}}, \frac{-1}{\sqrt{11}}, \frac{-1}{\sqrt{11}}\right)$ or $\left(\frac{3}{\sqrt{11}}, \frac{1}{\sqrt{11}}, \frac{1}{\sqrt{11}}\right)$.

Find the direction cosines of the line passing through the points $P(2, 3, 5)$ and $Q(-1, 2, 4)$.

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