determine whether the given vectors are orthogonal parallel or neither. (a) u=<-9,9,3>, v=<12,-12,-4>

parallel

Step-by-step explanation:

u = <-9,9,3>

v = <12,-12,-4>

test if the given vectors are orthogonal ( dot product = 0 )

we have to find the dot product of the vectors to determine is it will be = 0

u*v = (-9)*(12) + (9)*(-12) + (3)*(-4) = -108 -108 -12= -228 ≠ 0

hence the given vectors is not orthogonal

next check if the vectors are linearly dependent

(-9/12 ) = - 3/4

(9/-12)  =  - 3/4

( 3/-4 )  = - 3/4

since they are linearly dependent then they are parallel

h/o/e/s mad

step-by-step explanation:

si si si

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.