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AP EAMCET Engineering 2018 Apr 22 Shift 1 Paper
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© examsnet.com
Question : 34
Total: 160
If
−
a
,
−
b
and
−
c
r are non-coplanar vectors and the four points with position vectors
2
−
a
+
3
−
b
−
−
c
,
−
a
−
2
−
b
+
3
−
c
,
3
−
a
+
4
−
b
−
2
−
c
and
k
−
a
−
6
−
b
+
6
−
c
are coplanar, then
k
=
0
1
2
3
Validate
Solution:
Let,
A
(
2
a
+
3
b
−
c
)
.
B
(
a
−
2
b
+
3
c
)
C
(
3
a
+
4
b
−
2
c
)
and
D
(
k
a
−
6
b
+
6
c
)
∴
→
A
B
=
−
a
−
5
b
+
4
c
→
A
C
=
−
a
+
b
−
c
→
A
D
=
(
k
−
2
)
a
−
9
b
+
7
c
It is given
A
,
B
,
C
,
D
are coplanar.
|
−
1
−
5
4
1
1
−
1
k
−
2
−
9
7
|
=
0
(
k
−
2
)
(
5
−
4
)
+
9
(
1
−
4
)
+
7
(
−
1
+
5
)
=
0
k
−
1
=
0
k
=
1
© examsnet.com
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