Question

Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <6, -2>, v = <2, 6>

Neither

Orthogonal

Parallel

Answer 1

you will have to perform a dot product

Answer 2

or since they are just 2 termed vectors see if you can spot their slopes ..

but im sure dot product is what they want you to do

Answer 3

ok one sec

Answer 4

dot product is -24

Answer 5

lets try that again ... i prefer a stacked format, then its just multiply down the columns and add the results

<6, -2>
<2, 6>
--------
12-12 = 0

Answer 6

oh i thought it was -6 my b

Answer 7

its 0

Answer 8

also, the stacked format allows us to see if there is a common ratio for parallel

<6, -2>
<2, 6>

3 -1
1 3 since the ratios are not equal they are no parallel


the dot product = 0 defines them as perpendicular

Answer 9

ok so its neither

Answer 10

the dot product = 0 defines them as perpendicular

since they dot out to 0 .... they are?

Answer 11

i see they are using orthogonal instead of perpendicular :/

they mean the same thing

Answer 12

oh i see thx

Answer 13

yw