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Find normalized normal of plane H parallel to H2

  1. Mar 12, 2014 #1
    1. The problem statement, all variables and given/known data
    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


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



    3. 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?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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