Byju's Answer
Standard XII
Mathematics
Orthogonal System of Vectors
Write a unit ...
Question
Write a unit vector in the direction of
b
→
=
2
i
^
+
j
^
+
2
k
^
.
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Solution
Given:
b
→
=
2
i
^
+
j
^
+
2
k
^
b
→
=
2
2
+
1
2
+
2
2
=
4
+
1
+
4
=
9
=
3
∴ Unit vector =
b
→
b
→
=
1
3
2
i
^
+
j
^
+
2
k
^
=
2
3
i
^
+
1
3
j
⏜
+
2
3
k
^
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Similar questions
Q.
For given vectors,
→
a
=
2
ˆ
i
−
ˆ
j
+
2
ˆ
k
and
→
b
=
−
ˆ
i
+
ˆ
j
−
ˆ
k
, find a unit vector in the direction of the vector
→
a
+
→
b
.
Q.
Write a unit vector in the direction of the sum of the vectors
a
→
=
2
i
^
+
2
j
^
-
5
k
^
and
b
→
=
2
i
^
+
j
^
-
7
k
^
. [CBSE 2014]
Q.
Write a vector in the direction of vector
5
i
^
-
j
^
+
2
k
^
which has magnitude of 8 unit.
Q.
For given vectors
→
a
=
2
ˆ
i
−
ˆ
j
+
2
ˆ
k
and
b
=
−
ˆ
i
+
ˆ
j
−
ˆ
k
, then a unit vector in the direction of the vector
→
a
+
→
b
is
Q.
Find a vector in the direction of
a
→
=
2
i
^
-
j
^
+
2
k
^
,
which has magnitude of 6 units.
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