Q16 of 136 Page 29

Find the Cartesian and vector equations of a line which passes through the point (1, 2, 3) and is parallel to the line .

Firstly, we need to write the cartesian form of the given line i.e. of

Cartesian equation is



So the direction ratios of the given line are ‹–1, 7, 3/2›


Vector Equation of line passing through the point (1, 2, 3) i.e. position vector and having direction ratios ‹–1, 7, 3/2› is



And the cartesian equation is



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