Define unit vector. Find the unit vector of the vector ⃗P=4 ^i−2 ^j
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Answer:
Example 1: Find the unit vector of
3
^
i
+
4
^
j
−
5
^
k
.
Solution: Given vector
→
A
=
3
^
i
+
4
^
j
−
5
^
k
|
→
A
|
=
√
3
2
+
4
2
+
(
−
5
)
2
=
√
9
+
16
+
25
=
√
50
=
5
√
2
^
A
=
1
|
→
A
|
.
→
A
=
1
5
√
2
.
(
3
^
i
+
4
^
j
−
5
^
k
)
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