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Question

Which of the following is a unit vector


A
(12,12)
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B
(12,1)
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C
(12,12)
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D
(1, 1)
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Solution

The correct option is C (12,12)
Let’s check the magnitude for all these vectors.  Whichever vector has the magnitude 1, it will be a unit vector.
so a) (12,12), Magnitude = (12)2+(12)2=321
b) (12,1). Magnitude = (12)2+(1)21
c) (12,12). Magnitude = (12)2+(12)2=1
So it is a unit vector
d) (1, 1),  Magnitude = (1)2+(1)2=21
So only (c) is a unit vector.
 

Mathematics

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