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AP EAPCET 23-Aug-2021 Shift 2 Paper
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Section:
Mathematics
© examsiri.com
Question :
30 of 160
Marks:
+1
,
-0
The area of the parallelogram for which the vectors
^
i
+
^
j
+
2
^
k
and
3
^
i
−
2
^
j
+
^
k
are adjacent sides is equal to
3
√
5
5
√
3
2
√
5
5
√
6
Validate
Solution:
Let
a
=
^
i
+
^
j
+
2
^
k
and
b
=
3
^
i
−
2
^
j
+
^
k
∴ Area of parallelogram
=
|
a
×
b
|
=
|
^
i
^
j
^
k
1
1
2
3
−
2
1
|
=
^
i
(
1
−
(
−
4
)
]
−
^
j
(
1
−
6
)
+
^
k
(
−
2
−
3
)
=
5
^
i
+
5
^
j
−
5
^
k
∴
|
a
×
b
|
=
√
5
2
+
5
2
+
(
−
5
)
2
=
5
√
3
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