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Vector Algebra Part 3

Section: Mathematics
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Question : 23 of 72
 
Marks: +1, -0
Consider two vectors
→
u
=3
∧
i
−
∧
j
 and
→
v
=2
∧
i
+
∧
j
−λ
∧
k
,λ>0. The angle between them is given by cos−1(‌
√5
2√7
).
Let
→
v
=
→
v
1+
→
v
2, where
→
v
1 is parallel to
→
u
 and
→
v
2 is perpendicular to
→
u
. Then the value |
→
v
1|2+|
→
v
2|2 is equal to
[4 Apr 2025 Shift 1]
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