Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If
= i + j – k,
= i – j + k,
is a unit vector such that
= 0,
= 0 then a unit vector
both
and
is perpendicular to
Text Solution
Verified by ExpertsThe correct answer is:
B
is along the vector
= 
= (–1) (i + j – k) – 3(i – j + k) = – 4i + 2j – 2k ⇒
=
⇒
=
;
= 
= – j(–3) + k.3 = 3(j + k) ⇒
= 
──────────────────────────────────────────────────────────────────────────────────────────
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
Show that {( + + ) × ( – )} . = 2 .
Given unit vectors , and such that = = α, then find value of in terms of α .
Let , and be three non-zero vectors such that is a unit vector perpendicular to both . If the …
Examine for coplanarity of the following sets of points
The vertices of a tetrahedron are P(2, 3, 2), Q(1, 1, 1), R(3, –2, 1) and S (7, 1, 4).
(i) Find the…
Are the following set of vectors linearly independent?
(i) = − 2 + 3 , = 3 − 6 + 9
(ii) = …
(2i – j + k)
(j + k)
(i + j)
(i + k)