Three Dimensional Geometry

Section: Mathematics
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Question : 4 of 35
 
Marks: +1, -0
Let γ∈ℝ be such that the lines L1:‌
x+11
1
=‌
y+21
2
=‌
z+29
3
and L2:‌
x+16
3
=‌
y+11
2
=‌
z+4
γ
intersect. Let R1 be the point of intersection of L1 and L2 . Let O=(0,0,0) , and
^
n
denote a unit normalvector to the plane containing both the lines L1 and L2.
Match each entry in List-I to the correct entry in List-II.
   List-I    List-II
 (P)   γ equals  (1)  −
^
i
−
^
j
+
^
k
 (Q)  A possible choice for
^
n
is
 (2)   √
3
2
 (R)  
→
OR1
equals
 (3)  1
 (S)  A possible value of
→
OR1
.
^
n
is
 (4)  
1
√6
^
i
−
2
√6
^
j
+
1
√6
^
k
     (5)  √
2
3

The correct option is
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