Question

let u= (3.,4) find two unit vectors that are perpendicular to u

Answer 1

if u is a vector defined by <3,4>, then we can find 2 vector that are perpendicular to it by the dot product.

Answer 2

<3,4> . <x,y> = 0
3x +4y = 0

Answer 3

this is the equation of a line that should be perpendicular to "u".

the slope of this line is -3/4 which is good :)

Answer 4

magnitude doesnt matter so we can pick any vectors pointing in opposite direction on this line

Answer 5

<-4,3> and <4,-3> should work

Answer 6

lets test it by the dot ;)

<3,4>.<-4,3> = -12 + 12 = 0, thats good

<3,4>.<4,-3> = 12 + -12 = 0...good again

Answer 7

thanks

Answer 8

youre welcome :)