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Byju's Answer
Standard IX
Mathematics
Applications of Dot Product
If |a⃗|=7,|b⃗...
Question
If
|
→
a
|
=
7
,
|
→
b
|
=
11
,
|
→
a
+
→
b
|
=
10
√
3
, then
|
→
a
−
→
b
|
equals
A
10
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B
√
10
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C
2
√
10
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D
20
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Solution
The correct option is
C
2
√
10
We have,
|
→
a
+
→
b
|
2
+
|
→
a
−
→
b
|
2
=
2
(
|
→
a
|
2
+
|
→
b
|
2
)
⇒
300
+
|
→
a
−
→
b
|
2
=
2
(
49
+
121
)
⇒
|
→
a
−
→
b
|
=
2
√
10
Suggest Corrections
1
Similar questions
Q.
If
|
→
a
|
=
7
,
|
→
b
|
=
11
,
|
→
a
+
→
b
|
=
10
√
3
, then
|
→
a
−
→
b
|
equals
Q.
If
|
→
a
|
=
7
,
|
→
b
|
=
11
,
|
→
a
+
→
b
|
=
10
√
3
, then
|
→
a
−
→
b
|
equals
Q.
If
|
→
a
|
=
7
,
|
→
b
|
=
11
and
|
→
a
+
→
b
|
=
10
√
3
, then
|
→
a
−
→
b
|
is equal to.
Q.
Let
|
→
a
|
=
7
,
|
→
b
|
=
11
,
|
→
a
+
→
b
|
=
10
√
3
then what is
|
→
a
−
→
b
|
equal to.
Q.
Let
|
→
a
|
=
7
,
|
→
b
|
=
11
,
|
→
a
+
→
b
|
=
10
√
3
.Find the angle between
(
→
a
+
→
b
)
and
(
→
a
+
→
b
)
.
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