Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If
and
are any two non-collinear unit vectors and
is any vector, then
. Find 
Text Solution
Verified by ExpertsThe correct answer is:
1
1
Let
be a unit vector in the direction of
,
in the direction of
. Note that
and 
We have
, w here
is a unit vector perpendicular to
and
.


Any vector a can be written as a linear combination of
,
and
.
Let 
Now 
and 
Thus 


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
If a of magnitude is collinear with the vector , and makes an acute angle with thepositive direct…
If and , then the value of such that is at right angle tovector , is
A vector a has components and with respect to a rectangular Cartesian system. The system isrotate…
If and , then a unit vector perpendicular to both and is . Find
If and at least one of the numbers and is non-zero, Find .
The vector equation of the plane passing through the origin and the line of intersection of the pla…