Question

Help with Finding the Angle Between Two Lines

Answer 1

Find the angle between the following two lines:



2x + 3y = 5

x − 3y = 6

Answer 2

you know slope is a vector?

Answer 3

Yes so we have to put it into slope formula?

Answer 4

3y=x+6

Answer 5

1/3x+2=y

Answer 6

we dont 'have' to .... but it doesnt hurt if thats what you like

Answer 7

3y=-2x+5

Answer 8

oops meant y=-2/3x+2.5

Answer 9

ax + by = c

by = -ax + c

m = -a/b, for a vector of (b,-a)

Answer 10

2x + 3y = 5
(3,-2)

x − 3y = 6
(-3,-1), or (3,1)

(3,-2) ; sqrt(13)
(3, 1) ; sqrt(10)
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9-2 = 7

you know what to do with that

Answer 11

with this my book recommends me doing

Answer 12

which angle?

Answer 13

yeah, if you want to go a non vector route, just thought you were playing wth vectors lately

Answer 14

ahh I see there are several methods here idk which is the best
also brb

Answer 15

the best is the one that gets you to the solution in a manner that you are comfortable with.

in programming its the one with the least number of computattions.

Answer 16

we need to define an inverse trig either way ....

cos^(-1)(7/sqrt((13)(10)))

Answer 17

and that would give us the degrees for one ?

Answer 18

yeah, the other degree is 180 - that one ...

Answer 19

if we define the angle as the smallest angle, then if our results are >90, we subtract it from 180