We know that, equation of a line in Cartesian form is
Where, a, b and c are direction ratios and (x1, y1, z1) is a particular point on the line.
Given, line is parallel to , therefore it has direction ratio as 2, 1 and 3
i.e. a = 2, b = 1, c = 3
And lines pass through (5, -2, 4)
Putting values, we get equation of line as
Which doesn’t match the given equation of line!
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