Find the Cartesian equation of a line passing through (1, –1, 2) and parallel to the line whose equations are Also, reduce the equation obtained in vector form.

cartesian equation of the given line is

Hence its direction ratios are‹1, 2, –2›


The cartesian equation of the line is given by


the point is (1, –1, 2) and the direction ratios are ‹1, 2, –2›


The cartesian equation of the line is



Let this be equal to



….(1)


….(2)


Hence comparing 1&2


The vector equation of the line is given as



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