50 points

Two vectors are said to be parallel if they point in the same direction or if they point in opposite directions.

Part A

Are the vectors v1= < square root of 3,1> and v2= < -1(square root of 3), -1 parallel? Show your work and explain.

Part B

Are the vectors u1= <2,3> and u2= <-3,-2) parallel? Show your work and explain.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

imma say 16%. sorry if its wrong. i'm doing the same stuff right now

step-by-step explanation: