prove that the magnitude of two unit vector is 1 .
Answers
Answered by
1
Explanation:
Answer
Let
a
^
and
b
^
be two unit vectors such that
a
^
+
b
^
is also a unit vector. Then, ∣
a
^
∣=1,
∣
∣
∣
∣
b
^
∣
∣
∣
∣
=1,
∣
∣
∣
∣
a
^
+
b
^
∣
∣
∣
∣
=1.
We know that :
∣
∣
∣
∣
a
^
+
b
^
∣
∣
∣
∣
2
+
∣
∣
∣
∣
a
^
−
b
^
∣
∣
∣
∣
2
=2(∣
a
^
∣
2
+
∣
∣
∣
∣
b
^
∣
∣
∣
∣
2
)
⇒1+
∣
∣
∣
∣
a
^
−
b
^
∣
∣
∣
∣
2
=2(1+1)
⇒
∣
∣
∣
∣
a
^
−
b
^
∣
∣
∣
∣
2
=3⇒
∣
∣
∣
∣
a
^
−
b
^
∣
∣
∣
∣
=
3
Hence proved.
Answered by
1
Answer:
until next time friend
bye
take care
Similar questions