Question

Are the given vectors normal? A=<5,2> and B= <6,15>

Answer 1

normal? can vectors 'be' normal to each other?

Answer 2

hint:
two vectors are normal each other, if and only if their scalar product is equal to zero

Answer 3

It means that they are perpendicular

Answer 4

What's a scalar product?

Answer 5

normal sounds weird to me; orthogonal yes, perpendicular yes .... but normal? must be a british thing

Answer 6

for examle, if we have the subsequent vectors:
v=(a,b), and w=(c,d)
then their scalar product is:
a*c+b*d

Answer 7

example*

Answer 8

So if 5*6+2*15=0 then they are normal?

Answer 9

please note that:
5*6+2*15 is not equal to zero

Answer 10

sorry that's a negative 2

Answer 11

In my book it's a negative 2, I won't it wrong. I know it equals 60 but the negative 2 means it equals 0.

Answer 12

then , we have:
5*6+(-2)*15=0
ok! your vectors are perpendicular each other

Answer 13

So that means they are normal?

Answer 14

yes!

Answer 15

Thank you!!

Answer 16

Thank you! :)