Linear Algebra And Matrices. lines

I am stuck on the following problems, both from university intro algebra course

Find the parametric equations of the line which intersects each of followinglines orthogonally: x=-9+3t , y=-5+t , z=-3+t and x=-3+2t , y=-7+3t , z=-17+t

Other question

If A is a matric satisfying
-8(A^3)-10(A^2)+8A+I=0
show that A is invertible with
(A^-1)=-1(-8(A^2)-10A+8I)

Im assuming that I is the identity matrix but other than that im lost.

Quote:

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Originally Posted by Dani

I am stuck on the following problems, both from university intro algebra course

Find the parametric equations of the line which intersects each of followinglines orthogonally: x=-9+3t , y=-5+t , z=-3+t and x=-3+2t , y=-7+3t , z=-17+t
.

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The aligned vector with the first line is,

The aligned vector with the second line is,

To be both orgothonal we need a vector orthogonal to both, for example, the cross product vector,