- #1
smn
- 13
- 0
Hi, I'm currently revising for a maths exam and I'm stuck on the following question:
Show that the lines:
r = (i+j+k) + s(i+2j+3k)
r = (4i+6j+5k) + t(2i+3j+k)
Intersect.
My work so far:
Let (i+j+k) + s(i+2j+3k) = (4i+6j+5k) + t(2i+3j+k)
So (i) 1+s = 4+2t
(j) 1+2s = 6+3t
(k) 1+3s = 5+t
I'm unsure where to go from here, any help would be appreciated.
Regards
smn
Show that the lines:
r = (i+j+k) + s(i+2j+3k)
r = (4i+6j+5k) + t(2i+3j+k)
Intersect.
My work so far:
Let (i+j+k) + s(i+2j+3k) = (4i+6j+5k) + t(2i+3j+k)
So (i) 1+s = 4+2t
(j) 1+2s = 6+3t
(k) 1+3s = 5+t
I'm unsure where to go from here, any help would be appreciated.
Regards
smn