Vector Question

davidinholee

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Sep 9, 2017
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The question is verify that if vectors a and b are nonzero, then vector c = |a|b + |b|a bisects theangle between a and b if c is not zero.

Is this question asking to verify this with just random numbers or variables? I tried creating vectors a = <x, y> and b = <m, n> but the expressions got extremely complicated when trying to find the angles.

Thank you!
 
The question is verify that if vectors a and b are nonzero, then vector c = |a|b + |b|a bisects theangle between a and b if c is not zero.

Is this question asking to verify this with just random numbers or variables? I tried creating vectors a = <x, y> and b = <m, n> but the expressions got extremely complicated when trying to find the angles.

Thank you!
Use dot product and the fact that:

cos(Θ/2) = √[{1 + cos(Θ)}/2]
 
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