# The Cartesian equation of a line is . Write its vector form.

We know that

The Cartesian equation of a line through a point (x1, y1, z1) and having direction cosines l, m, n is .

Comparing this standard form with the given equation, we get

x1 = 5, y1 = -4, z1 = 6 and l = 3, m = 7, n = 2

The point through which the line passes has the position vector and the vector parallel to the line is given by .

Now, Vector equation of a line that passes through a given point whose position vector is and parallel to a given vector is .

The vector equation of the required line is: Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Questions Based on 3D Geometry26 mins  Questions Based on 3D Geometry | Check Yourself40 mins  Reminding 11th - Revision of Circles important formulas in 50 Minutes56 mins  Concept Builder Questions of straight Lines (Quiz Session)55 mins  Revision of straight lines important formulas in one shot59 mins  Conic Section Part 164 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 