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AP EAMCET Engineering 20 Apr 2019 Shift 2 Paper
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© examsnet.com
Question : 33
Total: 160
Let
→
a
=
2
^
i
−
3
^
j
+
4
^
k
,
→
b
=
^
i
+
2
^
j
−
2
^
k
and
→
c
=
3
^
i
−
^
j
+
^
k
. The volume (in cubic units) of the parallelopiped having
→
a
+
→
b
+
→
c
,
→
a
−
→
b
+
→
c
and
→
a
+
→
b
−
→
c
as coterminus edges
6
7
28
36
Validate
Solution:
Consider the give vectors.
a
=
2
i
−
3
j
+
4
k
b
=
i
+
2
j
−
2
k
And
c
=
3
i
−
j
+
k
Thus,
a
+
b
+
c
=
6
i
−
2
j
+
3
k
a
−
b
+
c
=
4
i
−
6
j
+
7
k
And
a
+
b
−
c
=
k
Hence, the required volume of the parallelepiped is calculated
as
V
=
|
6
−
2
3
4
−
6
7
0
0
1
|
=
|
1
(
−
36
+
8
)
|
=
|
−
28
|
=
28
© examsnet.com
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