Question

Use direction vectors to determine if each line intersects the plane 3x-2y+4z=5.
r=[-3,2,7]+t[3,6,2]

Answer 1

I gotta sleep soon, so if you could help me promptly, that would be appreciated.

Answer 2

Sorry, I'm a little dim-witted, but isn't "0=-10" a bit, illogical? I'm being a bit confrontational because it doesn't look like my example in the txtbook, even though I don't understand it.

Answer 3

i was just trying to find the value of t

so i let t=0
and to see how far i was off

then just find t

Answer 4

Where'd you get those numbers in the brackets from?

Answer 5

Ello?

Answer 6

im wrong

Answer 7

r=(-3,2,7)+t(3,6,2)
r=(-3+3t,2+6t,7+2t)

sub in
3x-2y+4z=5
3(-3+3t)-2(2+6t)+4(7+2t)=5
-9+9t-4-12t+28+8t=5
15+5t=5
5t=-10
t=-2

Answer 8

So my goal is to solve for t?

Answer 9

what values of t work so yes

Answer 10

Cause the answer section just says yes, no, yes, yes, something. How do I know if either yes or no?

Answer 11

well one works
so yes?

Answer 12

So, If I get a value for t, it must be a yes?

Answer 13

I'm going to cry when I forget this in the morning.

Answer 14

does your answer book say yes ?

Answer 15

Yes.

Answer 16

Yes, it says Yes.

Answer 17

That makes me giggle like a little schoolgirl.

Answer 18

if you had the equation y=2x + 3
does the point (3,9) lie on the line
yes it does .. check sub it in
9=(2)(3)+3
9=9
true

now when you make 3 planes x,y,z
your just check does the point lie on the plane

they use word points and vector interchangeably

Answer 19

I'll just say yes. So If I have a value for t, it's a yes?

Answer 20

Ehhh, Imma sleep now. I'll be lookin at this in the morning, if I get up at the right time. Merci beaucoup!