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AP EAMCET Engineering 26 Apr 2017 Shift 1 Paper
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Section:
Mathematics
© examsiri.com
Question :
29 of 160
Marks:
+1
,
-0
(
3
−
i
−
−
j
+
2
−
k
)
=
(
2
−
i
+
3
−
j
−
−
k
)
x
+
(
−
i
−
2
−
j
+
2
−
k
)
y
+
(
−
2
−
i
+
−
j
−
2
−
k
)
z
,
is
(2,-5,3)
(2,5,-3)
(-2,5,3)
(2,5,3)
Validate
Solution:
It is given that,
(
3
−
i
−
−
j
+
2
−
k
)
=
(
(
2
−
i
+
3
−
j
−
−
k
)
x
+
(
−
i
−
2
−
j
+
2
−
k
)
y
+
(
−
2
−
i
+
−
j
−
2
−
k
)
z
)
=
[
i
(
2
x
+
y
−
2
x
)
+
j
(
3
x
−
2
y
+
z
)
+
k
(
−
x
+
2
y
−
2
z
)
]
Compare the coefficient of like terms.
2
x
+
y
−
2
z
=
3
3
x
−
2
y
+
z
=
−
1
−
x
+
2
y
−
2
z
=
2
On solving the three equations,
x
=
2
y
=
5
z
=
3
Therefore,
(
x
,
y
,
z
)
=
(
2
,
5
,
3
)
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