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CBSE Class 12 Math 2013 Solved Paper

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Question : 7
Total: 29
If
→
a
 = x
^
i
+2
^
j
−z
^
k
 and
→
b
 = 3
^
i
−y
^
j
+
^
k
 are two equal vectors, then write the value of x + y + z
Solution:  
Given,
→
a
 = x
^
i
+2
^
j
−z
^
k
 and
→
b
 = 3
^
i
−y
^
j
+
^
k
 are equal vectors.
∴ x
^
i
+2
^
j
−z
^
k
 = 3
^
i
−y
^
j
+
^
k
⇒ x = 3 , y = - 2 , z = - 1
∴ x + y + z = 3 + (- 2) + (- 1) = 0
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