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

Question

Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <6, -2>, v = <8, 24>

amistre64 · Answer

given a,b

vectors are parallel if they are multiples of each other

 a , b
ka,kb

if they have a common ratio among parts they are parallel

a/ka = 1/k
b/bk = 1/k

amistre64 · Answer

so what can we determine?

anonymous · Answer

It's neither

amistre64 · Answer

my perp idea is flawed, parallel idea is fine tho

anonymous · Answer

Is perp = ortho?

amistre64 · Answer

perp is when dot product is zero ... we dont flip nothing, they are already presented that way if perped

amistre64 · Answer

yes ortho means perpendicular

amistre64 · Answer

u = <6, -2> v = <8, 24> 48,-48 i was confusing flipping to perp a vector for flipping a vector

anonymous · Answer

So it is perp because they are equivalent but flipped?

amistre64 · Answer

what do you recall about perpendular slopes?

anonymous · Answer

Ohhh perp slops are the opposite reciprocal

amistre64 · Answer

yep  flip and negate is my memory

amistre64 · Answer

a slope of b/a  is a vector:  a,b

the perp vector is some flip negate multiple of it:  -kb, ka

   a,  b 
-kb, ka
--------
-kab, kab

perp vectors have the property that the products are opposite, so their dot product is zero

anonymous · Answer

So wouldn't it be perp because 48 + -48 =0?

amistre64 · Answer

yep ...