plane and 3d vector

1. The problem statement, all variables and given/known data

problem 1:

given the straight line r whose equation is r=<3+2t, 4+2t, -1-t>



0.Determine A, intersection of the plane yz

0.1the parameter value at A is t=

0.2therefore A=(...,...,...)



1.we want to re-parametrize r (be u the new parameter) so that:

1.1the new direction vector e be a unit vector, then e = <...,...,...>

1.2 as u increases the x coordinates increases. it follows that e=<...,...,...>

1.3 A be the new origin point. the new equation is: r=<.....,.....,.....>



2. Determine B and C, intersections of r with the zx and xy plane respectively.

2.1 parameter values at the two points are Ub=....... Uc=.......

2.2 distances AB and AC are therefore dAB=.......... dAC=........

2.3 Points coordinates are B= (.....,.....,.....) C=(......,......,.....)



3. The attempt at a solution

A at x=0 hence 3+2t=0 therefore A at t=-3/2

point A(0,1,1/3)

direction vector d=(2,2,-1)



for 1.1 the formula to be applied is v/|v| but i don't know whether it should be applied to the direction vector or to the original equation. also question 1.2 is problematic for me since i don't understand what is asked for. any help is much appreciated