Question

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

Answer 1

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

Answer 2

-2

Answer 3

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

Answer 4

-44 and 60
are they orthogenal?

Answer 5

they are orthogonal if their dot product is zero

Answer 6

so thats a no

Answer 7

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 :)

Answer 8

thanks!
so -6 and 6 would be orthogenal

Answer 9

if\[x_1x_2=-6\]and\[y_1y_2=6\]then yes