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## Homework Statement

Prove that r1 and r2 intersect at (1,1,3).

Let r1 and r2 be defined as:

r1(t)=t^2i+tj+3t^3k

r2(t)=(t−1)i+(1/4)t^2j+(5−t)k

## Homework Equations

Intersection is derived from r1=r2.

## The Attempt at a Solution

I only formally get to this point and then start messing up. It gets messy and I know i'm not doing the right thing.

r1=r2 --> t^2i+tj+3t^3k = (t−1)i+(1/4)t^2j+(5−t)k