Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
be a vector coplanar with the vectors 
= 2 
+ 
– 
and 
= 
+ 
. If 
is perpendicular to 
and 
. 
= 24, then 
is equal to :
Text Solution
Verified by ExpertsThe correct answer is:
C
= x 
+ y 
+ z 
. 
= 0 ⇒ 2x + 3y – z = 0 ………(i)
. 
= 24 ⇒ y + z = 24 ……..(ii)
[ 
] = 0 ⇒ 
= 0
⇒ 4x – 2y + 2z = 0
2x – y + z = 0 …………(iii)
+
2x + 2z = 24
x + z = 12 …………(iv)
Now vr% 24 – 2z + 3 (24 – z) – z = 0
96 = 6z
z = 16 ⇒ x = – 4 ⇒ y = 8
= – 4 
+ 8 
+ 16 
| 
| 2 = 16 + 64 + 256 = 336
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