v1=(22,15) and v2=(-2,4) multiply the two x-coordinates of the vectors and the two y-coordinates of the vectors.write each product below

Question

turingtest · Answer

the x-coordinate of v1 is 22
what is the x coordinate of v2 ?

anonymous · Answer

-2

turingtest · Answer

yes, so the product of the two x-coordinates is...?
what about the y-coordinates?

anonymous · Answer

-44 and 60
are they orthogenal?

turingtest · Answer

they are orthogonal if their dot product is zero

anonymous · Answer

so thats a no

turingtest · Answer

the dot product is of two vectors $\vec v=\langle x_1,y_1\rangle$ and $\vec u=\langle x_2,y_2\rangle$ is$$\vec v\cdot\vec u=x_1x_2+y_1y_2$$in your case it looks like that's not zero, so no :)

anonymous · Answer

thanks!
so -6 and 6 would be orthogenal

turingtest · Answer

if$$x_1x_2=-6$$and$$y_1y_2=6$$then yes