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Vector Algebra Part 2

Section: Mathematics
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Question : 32 of 100
 
Marks: +1, -0
Let
→
v
=α
^
i
+2j−3k,
→
w
=2α
^
i
+j−k, and
→
u
 be a vector such that |
→
u
|=α>0. If the minimum value of the scalar triple product [
→
u
→
v
→
w
] is −α√3401, and |
→
u
.‌
^
i
|2=‌
m
n
 where m and n are coprime natural numbers, then m+n is equal to _______.
[1-Feb-2023 Shift 1]
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