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CBSE Class 12 Math 2009 Solved Paper

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Question : 6
Total: 29
Find the projection of
→
a
 on
→
b
 if
→
a
.
→
b
 = 8 and
→
b
 = 2
^
i
+6
^
j
+3
^
k
Solution:  
Projection of
→
a
 on
→
b
 is given by
→
a
.
→
b
|
→
b
|
 (i)
Given
→
a
.
→
b
 = and
→
b
 = 2
^
i
+6
^
j
+3
^
k
|
→
b
| = √4+36+9 = 7
Substituting value in (i) we get
Projection of
→
a
 on
→
b
 =
8
7
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