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Byju's Answer
Standard XII
Physics
Unit Vectors
Find the unit...
Question
Find the unit vector in the direction of
3
ˆ
i
−
6
ˆ
j
+
2
ˆ
k
.
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Solution
Let
→
a
=
3
ˆ
i
−
6
ˆ
j
+
2
ˆ
k
. Then,
|
→
a
|
=
√
3
2
+
(
−
6
)
2
+
2
2
=
√
49
=
7
So, a unit vector in the direction of
→
a
is given by
ˆ
a
=
→
a
|
→
a
|
=
1
7
(
3
ˆ
i
−
6
ˆ
j
+
2
ˆ
k
)
=
3
7
ˆ
i
−
6
7
ˆ
j
+
2
7
ˆ
k
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0
Similar questions
Q.
Vectors of magnitude 21 units in the direction of the vector
3
i
^
-
6
j
^
+
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k
^
are _____________.
Q.
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→
A
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^
i
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Q.
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→
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=
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ˆ
i
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ˆ
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ˆ
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Q.
(i) Find a vector of magnitude 49, which is perpendicular to both the vectors
2
i
^
+
3
j
^
+
6
k
^
and
3
i
^
-
6
j
^
+
2
k
^
.
(ii) Find a vector whose length is 3 and which is perpendicular to the vector
a
→
=
3
i
^
+
j
^
-
4
k
^
and
b
→
=
6
i
^
+
5
j
^
-
2
k
^
.
Q.
The angles which the vector
→
A
=
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ˆ
i
+
6
ˆ
j
+
2
ˆ
k
makes with the co-ordinate axes are:
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