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JEE Main Math Class 12 Vector Algebra Part 3 Questions
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© examsnet.com
Question : 64
Total: 70
Let
→
a
,
→
b
and
→
c
be three non-zero non-coplanar vectors. Let the position vectors of four points
A
,
B
,
C
and
D
be
→
a
−
→
b
+
→
c
,
λ
→
a
−
3
→
b
+
4
→
c
,
−
→
a
+
2
→
b
−
3
→
c
and
2
→
a
−
4
→
b
+
6
→
c
respectively. If
→
A
B
,
→
AC
and
→
AD
are coplanar, then
λ
is :
Official Ans. by NTA
[29-Jan-2023 Shift 1]
Your Answer:
Validate
Solution:
A
B
=
(
λ
−
1
)
a
−
2
b
+
3
c
A
C
=
2
a
+
3
b
−
4
c
A
D
=
a
−
3
b
+
5
c
|
λ
−
1
−
2
3
−
2
3
−
4
1
−
3
5
|
=
0
⇒
(
λ
−
1
)
(
15
−
12
)
+
2
(
−
10
+
4
)
+
3
(
6
−
3
)
=
0
⇒
(
λ
−
1
)
=
1
⇒
λ
=
2
© examsnet.com
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