Question

Are the given vectors normal?
a=(5, -2) and b=(6, 15)

Answer 1

It is a question on my homework.

Answer 2

Find the two slopes. If they are negative reciprocals they are normal.

Answer 3

could you walk me through that? I'm confused

Answer 4

Each vector has two known points. The origin (0,0) and the end point of the vector, (5, -2) for one vector and (6, 15) for the other vector.

Answer 5

Using the two known points of each vector, find the slope of each vector.
Then multiply the slopes together. If the product is -1 they are normal vectors.

Answer 6

how do you find the slope?

Answer 7

is it rise/run?

Answer 8

yes
difference in y over difference in x

Answer 9

m1 = (-2 - 0)(5 - 0)
m2 = (15 - 0/(6 - 0)

Answer 10

oh wait I'm doing this wrong

Answer 11

how do you multiply that?

Answer 12

Sorry, I missed the fraction sign in the first slope.
m1 = (-2 - 0)/(5 - 0) = -2/5
m2 = (15 - 0/(6 - 0) = 15/6 = 5/2

Answer 13

Sorry, gtg.

Answer 14

The slopes do multiply to -1, so they are normal.

Answer 15

ok ty