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Question

The vector a+b bisects the angles between the vectors a and b if

A
|a|=1
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B
|b|=1
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C
|a|=|b|
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D
a.b=0
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Solution

The correct option is C |a|=|b|
From the above figure
cos θa+b|a|=(a+b)a -------(1)
cos θa+bb=(a+b)b --------(2)
divide (1) by (2)
|a|b=a2+abb2+ab
So, |a|=b

55440_35634_ans.JPG

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