Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
and 
, then value of 
is:
Text Solution
Verified by ExpertsThe correct answer is:
6
(6)
Given value is 9 (very small), so vectors must cancel strongly.
This happens when 
are along the same line with suitable opposite directions.
Take
(where 
is cube root of unity).
Then
Using 
, its modulus becomes 9.
Now,
Substituting and simplifying using
──────────────────────────────────────────────────────────────────────────────────────────
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
The locus of the points representing the complex numbers z for which |z| – 2 = 0, |z – i| – |z + 5i…
If , then-
If and , then is equal to
Show that the equation Z 4 + 2Z 3 + 3Z 2 + 4Z + 5 = 0 has no root which is either purely real or pu…
Consider the locus of the complex number in the Argand plane is given by 2 i. Let and be two co…
Find the mirror image of the curve about the line .