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Byju's Answer
Standard XII
Mathematics
Applications of Dot Product
If |a|=3, |b|...
Question
If |a|=3, |b|=4 and |a+b|=1, then |a-b|=
A
5
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B
6
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C
7
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D
8
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Solution
The correct option is
C
7
|
a
+
b
|
2
+
|
a
−
b
|
2
=
2
|
a
|
2
+
2
|
b
|
2
⇒
1
+
|
a
−
b
|
2
=
2
(
3
)
2
+
2
(
4
)
2
⇒
|
a
−
b
|
2
=
49
⇒
|
a
−
b
|
=
7
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