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MHTCET 13 May 2023 Shift 2 Solved Paper
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Section:
Mathematics
© examsiri.com
Question :
57 of 150
Marks:
+1
,
-0
If
a
=
1
√
10
(
3
⋀
i
+
⋀
k
)
,
b
=
1
7
(
2
⋀
i
+
3
⋀
j
−
6
⋀
k
)
, then the value of
(
2
a
−
b
)
⋅
[
(
a
×
b
)
×
(
a
+
2
b
)
]
is
−
3
5
3
−
5
Validate
Solution:
Here
(
2
a
−
b
)
⋅
[
(
a
×
b
)
×
(
a
+
2
b
)
]
=
(
2
a
−
b
)
⋅
{
(
a
×
b
)
×
a
+
2
(
a
×
b
)
×
b
}
=
(
2
a
−
b
)
⋅
{
(
a
⋅
a
)
⋅
b
−
(
a
⋅
b
)
a
+
2
(
a
⋅
b
)
b
−
2
(
b
⋅
b
)
⋅
a
}
=
(
2
a
−
b
)
⋅
(
b
−
2
a
)
=
−
4
a
⋅
a
−
b
⋅
b
=
−
5
© examsiri.com
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