Hi, i'm currently revising for a maths exam and i'm stuck on the following question:(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Vectors - show that the lines intersect

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