Solution Note that two vectors are equal if and only if their corresponding components
are equal Thus, the given vectors 
aand 
rb
r
 will be equal if and only if
x = 2, y = 2, z = 1
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 MATHEMATICS
436
Example 5 Let 
ˆ
2ˆ
a
i
j
r= +
 and 
ˆ
ˆ
2
b
i
j
=
+
r Is |
|
|
|
a
b
=
r
r Are the vectors 
a and 
rb
r
equal