CBSE Class 12 Math 2012 Solved Paper

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Question : 9
Total: 29
Find the sum of the following vectors:
a
=
^
i
2
^
j
,
b
= 2
^
i
3
^
j
,
c
= 2
^
i
+3
^
k
Solution:  
Sum of the vectors,
a
+
b
+
c
= (
^
i
2
^
j
)
+ (2
^
i
3
^
j
)
+ (2
^
i
+3
^
k
)

= 5
^
i
5
^
j
+3
^
k
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