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- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 2,820

$r_1=\pmatrix {5 \\ 1}+2\pmatrix {3 \\ -2}$, $r_2=\pmatrix {-2 \\ 2}+t\pmatrix {4 \\ 1}$

The lines intersect at the point \(\displaystyle P\).

Find the

**of \(\displaystyle P\)**

*position vector*this being in form of \(\displaystyle r=a+tb\)

where \(\displaystyle a\) is the the

*position vector*

and b is the

*direction vector*.

but not sure if these needs to be converted to line equations (of which not sure how to do) or just use what is given.