Find normalized normal of plane H parallel to H2

[concon]

Homework Statement

Find equation of plan H in R^4 that contains the point P= (2,-1,10,6)
and is parallel to plain H2: 4a +4b + 5c-6d = 3 then answer the following questions:
A. find normalized normal of plane H which has an angle theta with the normal n= (4,4,5,-6) of H2 such that cos(theta) >0

B.Find the distance from (2,2,-1,-2) to the plane H

Homework Equations

0 = n1(a-p1) + n2(b-p2) + n3(c-p3) + n4(d-p4)

The Attempt at a Solution

So for part A:
I know that if they are parallel then the normal of H2 equals to some constant k times normal of H

N2 = kN
and I believe I found equation for H:
0 = n1(a-2) + n2(b+1) + n3(c-10) + n4(d-6)
I just do not know where to go from there

Part B

d(x,y) ||y-x||
Does this apply to planes?

 

[Nino MMP]

I know that I can find a point on the plane H that is closest to the given point (2,2,-1,-2), but I am unsure how to calculate the distance