Question

SIMPLE MATRIX QUESTION PLEASE HELP!! are the given vectors normal? a = (5,-2) and b = (6,15)

Answer 1

@GEERKY42

Answer 2

@sithsandgiggles

Answer 3

@jagr2713

Answer 4

@freckles

Answer 5

@whpalmer4

Answer 6

@greg_d

Answer 7

is the question asking if they are perpendicular to each other?

Answer 8

@greg_d all it is asking is if it is "normal"

Answer 9

I can't determine what or why or how it would be considered normal.. the rest of the homework was working on matrices

Answer 10

if the question is, are they "normal" (as perpendicular) to each other, you can use the dot product...

Answer 11

This is honestly the last problem and i don't know how i could do that..

Answer 12

@greg_d

Answer 13

ok, IF that is the question, we need to multiply them using the dot product.
\[a.b=a_xb_x+a_yb_y\]
since\[a.b=|a||b|cos(\theta) \]
with theta beign the angle between the vectors.
if that product is 0, said angle is 90º and they are indeed "normal" to each other

Answer 14

could you possibly solve that for me so i can use it next time i see something like this?

Answer 15

@greg_d

Answer 16

Similar Example:

Let's say you had the two vectors
u = <1,2>
v = <5,7>

The dot product of u and v is

u dot v = 1*5 + 2*7 = 5 + 14 = 19

Since the dot product is not 0, this means that u and v are not perpendicular

Answer 17

In general

u = <a,b>
v = <c,d>

u dot v = a*c + b*d


u,v are vectors
a,b,c,d are scalars

Answer 18

@jim_thompson5910 @greg_d Thank you!!

Answer 19

:D that examples will lead you to the answer !