Q8 of 136 Page 29

Find the vector equation of a line passing through (2, –1, 1) and parallel to the line whose equations are

the direction ratios of the line

Are‹


So in this question the direction ratios of the given line are ‹2, 7, –3›


So the vector equation of


Here


vector equation of a line is



so the vector equation of the line is



Here x = 2 + 2, y = –1 + 7, z = 1–3



Hence the cartesian equation of the above line is



More from this chapter

All 136 →
6

Find in vector form as well as in Cartesian form, the equation of the line passing through the points A(1, 2, –1) and B(2, 1, 1).

 7

Find the vector equation for the line which passes through the point (1, 2, 3) and parallel to the vector Reduce the corresponding equation in Cartesian from.

 9

The Cartesian equations of a line are Find a vector equation for the line.

 10

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.