Vector Algebra

Section: Mathematics
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Question : 13 of 38
 
Marks: +1, -0
Let
→
a
=2
⋀
i
+
⋀
j
−
⋀
k
and
→
b
=
⋀
i
+2
⋀
j
+
⋀
k
be two vectors. Consider a vector
→
c
=α
→
a
+β
→
b
,α
,β∈ℝ
If the projection of
→
c
on the vector (
→
a
+
→
b
)
is 3√2 , then theminimum value of (
→
c
(
→
a
×
→
b
)
)
.
→
c
equals_____
[JEE Adv 2019 P2]
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