Question

determine whether the vectors <2, -1> and <-2, -5> are orthogonal

Answer 1

if the dot product is 0 then they are orthogonal

Answer 2

hint dot product of \[<x _{1},y _{1}>\text{ & }<x _{2},y _{2}>=x _{1} \times x _{2} + y _{1} \times y _{2} \]

Answer 3

so the dot product for this would be (2*-2)-(1*-5) =-4+5=1 so not orthogonal

Answer 4

2(-2) + (-1)(-5) = -4 + 5 = 1, excellent

Answer 5

YAY thanks!!!

Answer 6

you're welcome