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If |a+b|=|a| then find angle between |2a+b| and |b|.

If |a+b|=|a| then find angle between |2a+b| and |b|.
 

Grade:9

1 Answers

Aditya Gupta
2075 Points
2 years ago
|a+b|=|a|
square both sides,
a^2+b^2+2a.b=a^2
or b.(b+2a)=0
here a.b means the dot product.
so the angle between b and 2a+b is pi/2.

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