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ranxu6j3Best ResponseYou've already chosen the best response.0
a and b are vectors, a=(x1,y1) b=(x2,y2) \[\left a \right\left b \right=\left adotb \right \] then why x1y2x2y1=0 ? please help me
 one year ago

ranxu6j3Best ResponseYou've already chosen the best response.0
plus they are not 0 vectors
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
have you tried this ? its just algebraic manipulations....
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
if you know \( a= \sqrt{x_1^2+y_1^2}\) \( b= \sqrt{x_2^2+y_2^2}\) \(a.b=x_1x_2+y_1y_2\)
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
substitute these and square both sides, what you get ?
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
i see, since you have disappeared offline, i'll write down few steps. \((x_1^2+y_1^2)(x_2^2+y_2^2)= (x_1x_2+y_1y_2)^2\) Expand both sides, and you'll see \(x_1^2x_2^2+y_1^2y_2^2\) gets cancelled from both sides, what remains will give you \((x_1y_2x_2y_1)^2=0\) which gives you required result.
 one year ago

ranxu6j3Best ResponseYou've already chosen the best response.0
thank you, @hartnn and sorry for disappearing i was using wrong aspects, which made me go nowhere. thanks again
 one year ago
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