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Byju's Answer
Standard XII
Mathematics
Addition of Vectors
If the sum of...
Question
If the sum of two unit vectors is a unit Vector, then find the magnitude of difference.
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Solution
Let
→
a
&
→
b
be two unit vector.
Then the resultant sum of two vector is given by
|
→
a
|
=
∣
∣
→
b
∣
∣
=
1
∣
∣
→
a
+
→
b
∣
∣
=
√
|
→
a
|
2
+
∣
∣
→
b
∣
∣
2
+
2
|
→
a
|
∣
∣
→
b
∣
∣
cos
θ
it given
∣
∣
→
a
+
→
b
∣
∣
=
1
1
=
√
1
+
1
+
2
cos
θ
cos
θ
=
−
1
/
2
θ
=
120
0
∣
∣
→
a
−
→
b
∣
∣
=
√
|
→
a
|
2
+
∣
∣
→
b
∣
∣
2
−
2
|
→
a
|
∣
∣
→
b
∣
∣
cos
θ
=
√
1
+
1
−
2
×
(
−
1
2
)
∣
∣
→
a
−
→
b
∣
∣
=
√
3
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