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in 3D Coordinate Geometry by (31.4k points)
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Write the cartesian equation of the following line given in vector form.

\(\vec{r} = (2\hat{i}+\hat{j}-4\hat{k}) + \lambda (\hat{i}-\hat{j}-\hat{k})\)

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Vector form of a line is given as

Direction ratios of above equation are (1, -1, -1) and point through which the line passes is (2, 1, -4).

\(\therefore\) Cartesian equation is

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