I f a vector 2
+3
+ 8
is perpendicular to the vector 4
– 4
+ α
, then the value of α is
Text Solution
Verified by ExpertsThe correct answer is:
B
Two vectors must be perpendicular if their dot product is zero.
Let
= 2
+ 3
+ 8 
= 4
– 4
+ a 
According to the above hypothesis :
⊥ 
⇒
= 0 ⇒ (2
+ 3
+ 8
). (– 4
+4
+ a
) = 0
⇒ 8 – 12+ 8a = 0 ⇒ a =
= 
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