Q. 75.0( 2 Votes )

Find the Cartesian equations of the line which passes through the point (1, 3, -2) and is parallel to the line given by Also, find the vector form of the equations so obtained.

Answer :

Given: line passes through (1, 3, -2) and is parallel to the line



To find: equation of line in vector and Cartesian form


Formula Used: Equation of a line is


Vector form:


Cartesian form:


where is a point on the line and is a vector parallel to the line.


Explanation:


Since the line (say L1) is parallel to another line (say L2), L1 has the same direction ratios as that of L2


Here,


Since the equation of L2 is




Therefore,


Vector form of the line is:



Cartesian form of the 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
Revision of straight lines important formulas in one shot59 mins
Concept Builder Questions of straight Lines (Quiz Session)55 mins
Magnetic field due to current carrying straight wire37 mins
Translation Process37 mins
Interactive Quiz on Bacterial Diseases29 mins
Immune System Disorders60 mins
Interactive Quiz on Cancer36 mins
Interactive Quiz on Magnetic field due to straight wire & circular loop41 mins
Interactive Quiz on Connective & Epithelial Tissue45 mins
Human health & diseases (Drug)56 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