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AP EAPCET 19-Aug-2021 Shift 1 Paper
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Section:
Mathematics
© examsiri.com
Question :
33 of 160
Marks:
+1
,
-0
If
a
=
2
^
i
+
^
j
+
3
^
k
,
^
b
=
^
i
+
3
^
j
−
^
k
and
c
=
3
^
i
−
^
j
−
2
^
k
then the value of
|
a
.
a
a
.
b
a
.
c
b
.
a
b
.
b
b
.
c
c
.
a
c
.
b
c
.
c
|
=
2020
2025
2030
1849
Validate
Solution:
a
=
2
^
i
+
^
j
+
3
^
k
,
b
=
^
i
+
3
^
j
−
^
k
,
c
=
3
^
i
−
^
j
−
2
^
k
a
.
a
=
4
+
1
+
9
=
14
a
.
b
=
b
.
a
=
2
+
3
−
3
=
2
a
.
c
=
c
.
a
=
6
−
1
−
6
=
−
1
b
.
c
=
c
.
b
=
3
−
3
+
2
=
2
c
.
c
=
9
+
1
+
4
=
14
Now
,
|
a
.
a
a
.
b
a
.
c
b
.
a
b
.
b
b
.
c
c
.
a
c
.
b
c
.
c
|
=
|
14
2
−
1
2
11
2
−
1
2
14
|
=
14
(
154
−
4
)
−
2
(
28
+
2
)
−
1
(
4
+
11
)
=
2100
−
60
−
15
=
2025
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