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# If the equation of the line AB is $\large\frac{x-3}{1}=\frac{y-2}{-2}=\frac{z-5}{4}$, find the direction ratios of a line parallel to AB.

Toolbox:
• If two lines are parallel then the ratio of their direction ratios are proportional.
Step 1:
Equation of the given line $AB$ is
$\large\frac{x-3}{1}=\frac{y-2}{-2}=\frac{z-5}{4}$
If two lines are parallel then the ratio of their direction ratios are proportional.
Hence the direction ratios of the line parallel to AB is
$1k,-2k,4k$
Where $k$ is a constant.