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AP EAPCET 05-Jul-2022 Shift 1 Paper
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Section:
Mathematics
© examsiri.com
Question :
29 of 160
Marks:
+1
,
-0
a
,
b
,
c
are non-coplanar vectors. If
a
+
3
b
+
4
c
=
x
(
a
−
2
b
+
3
c
)
+
y
(
a
+
5
b
−
2
c
)
+
z
(
6
a
+
14
b
+
4
c
)
then
x
+
y
+
z
=
−
5
−
4
4
5
Validate
Solution:
‌
a
+
3
b
+
4
c
=
a
(
x
+
y
+
6
z
)
+
b
(
−
2
x
+
5
y
+
14
z
)
‌
+
c
(
3
x
−
2
y
+
4
z
)
(because
a
,
b
and
c
are non-coplanar vectors) Comparing both sides,
‌
x
+
y
+
6
z
=
1.
.
.
.
.
(
i
)
‌
−
2
x
+
5
y
+
14
z
=
3.
.
.
.
.
(
i
i
)
‌
3
x
−
2
y
+
4
z
=
4
.
.
.
.
.
(
i
i
i
)
By solving Eqs. (i), (ii) and (iii), we get
‌
x
=
−
2
,
y
=
−
3
,
z
=
1
‌
x
+
y
+
z
=
−
4
© examsiri.com
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