Published by:
CGP EDU Academic Team
Published on: August 14, 2026
(i)Find the cartesian form of the equation of a line whose vector form is given by . 
(ii)Find the vector form of the equation of a line whose cartesian form is given by
=
=
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) 
(ii) 
Sol. (i) 
Let
be a point lying on the line
∴
=
(2 + λ ) +
( λ – 1) + (4 – 2 λ ) ⇒ x – 2 = λ ; y + 1 = λ ;
∴ equation of line is 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Find the coordinates of the point when the line through (3, 2, 5) and (–2, 3, –5) crosses the xy pl…
Find the foot of the perpendicular from (1, 6, 3) on the line = = .
Find the distance between points of intersection of
Lines = = & = = z and
Lines = ( + − ) …
Show that the foot of the perpendicular from the origin to the join of A(–9, 4, 5) and B (11, 0, –1…
Find the equation of the two lines through the origin which intersect the line = = at an angle o…
The foot of the perpendicular from (a, b, c) on the line x = y = z is the point (r, r, r), then fin…