Question

Find the Cartesian equation of the line passing through A(1,2,3) and having direction ratios 2,3,7​

Answer 1

SOLUTION

TO DETERMINE

The Cartesian equation of the line passing through A(1,2,3) and having direction ratios 2,3,7

CONCEPT TO BE IMPLEMENTED

The Cartesian equation of the line passing through A(p, q, r) and having direction ratios a, b, c is

$\displaystyle \sf{ \frac{x - p}{a} = \frac{y - q}{b} = \frac{z - c}{r} }$

EVALUATION

Here we have to find the Cartesian equation of the line passing through A(1,2,3) and having direction ratios 2,3,7

So the given point is A(1,2,3) and direction ratios are 2,3,7

Hence the required equation of the line is

$\displaystyle \sf{ \frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{7} }$

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