Q1 of 136 Page 29

Find the vector and Cartesian equations of the line through the point (5, 2, –4) and which is parallel to the vector

vector equation of a line is


here &


so the vector equation of the line is



the Cartesian equation of the line is



where are the coordinates of the fixed-point ‘a’, and are coordinates of .


so, the cartesian equation becomes as follows



More from this chapter

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Find the vector equation of a line which is parallel to the vector and which passes through the point (5, –2, 4). Also, reduce it to Cartesian form.

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