Vector Algebra Part 3

Section: Mathematics
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Question : 8 of 72
 
Marks: +1, -0
Let the lines L1:
→
r
=
∧
i
+2
∧
j
+3
∧
k
+λ(2
∧
i
+3
∧
j
+4
∧
k
)
,λ∈R
and L2:
→
r
=(4
∧
i
+
∧
j
)
+µ(5
∧
i
+2
∧
j
+
∧
k
)
,µ∈R
, intersect at the point R . Let P and Q be the points lying on lines L1 and L2, respectively, such that |
→
PR
|
=√29
and |
→
PQ
|
=√‌
47
3
. If the point P lies in the first octant, then 27(QR)2 is equal to
[24 jan 2026 Shift 1]
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