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Byju's Answer
Standard XII
Mathematics
Definition of Vector
Evaluate the ...
Question
Evaluate the dot
product of the given two vectors
(
3
→
a
−
5
→
b
)
⋅
(
2
→
a
−
7
→
b
)
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Solution
(
3
→
a
−
→
5
)
.
(
2
→
a
−
7
→
b
)
=
6
|
→
a
|
2
+
35
∣
∣
→
b
∣
∣
2
−
31
→
a
.
→
b
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Similar questions
Q.
Evaluate the product
(
3
→
a
−
5
→
b
)
⋅
(
2
→
a
+
7
→
b
)
.
Q.
If
→
a
and
→
b
are two non collinear unit vectors and
|
→
a
+
→
b
|
=
√
3
, then
(
2
→
a
−
5
→
b
)
.
(
3
→
a
+
→
b
)
=
Q.
Let
→
a
and
→
b
be two vectors such that
|
→
a
|
=
3
,
|
→
b
|
=
6
and
|
→
a
+
→
b
|
=
7
. Then the value of
(
3
→
a
−
2
→
b
)
.
(
2
→
a
+
5
→
b
−
4
→
a
×
→
b
)
is
Q.
If
→
p
=
3
→
a
−
5
→
b
;
→
q
=
2
→
a
+
→
b
;
→
r
=
→
a
+
4
→
b
;
→
s
=
−
→
a
+
→
b
are four vectors such that
sin
(
→
p
∧
→
q
)
=
1
and
sin
(
→
r
∧
→
s
)
=
1
then
cos
(
→
a
∧
→
b
)
is :
Q.
Vectors
3
→
a
−
5
→
b
and
2
→
a
+
→
b
are mutually perpendicular. If
→
a
+
4
→
b
and
→
b
−
→
a
are also mutually perpendicular, then cosine of the angle between
→
a
and
→
b
is equal to
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Standard XII Mathematics
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