Three vectors →A,→Band→C are related as →A+→B=→C. If →C is perpendicular to →A and the |→C| is equal to the |→A|, what will be the angle between →Aand→B?
A
45∘
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B
90∘
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C
135∘
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D
180∘
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Solution
The correct option is A45∘ Since →A+→B=→C, →C is the resultant of →Aand→B
Using the triangle law of vector addition (see figure),
we have θ=45∘because|→A|=|→C|
Thus the correct choice is (a).