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CBSE Class 12 Math 2008 Solved Paper

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Question : 8
Total: 29
Find a unit vector in the direction of
→
a
 = 3
^
i
−2
^
j
+6
^
k
Solution:  
The unit vector (
^
a
) in the direction of
→
a
 is given by
→
a
|
→
a
|
^
a
 =
3
^
i
−2
^
j
+6
^
k
√32+(−2)2+62
=
3
^
i
−2
^
j
+6
^
k
√9+4+36
3
^
i
−2
^
j
+6
^
k
√49
=
1
7
 [3
^
i
−2
^
j
+6
^
k
]
=
3
7
^
i
−
2
7
^
j
+
6
7
^
k
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