You are given the following two planes:

x+4y-3z-12=0
x+6y-2z-22=0

a) Use the two original equations to determine two other equations that have the same solution as the original two.

ANS: the orginal two are not parallel in anyway so can I just take multiples of the original two OR is there any other way to find them?

b) Find a third equation that will have a unique solution with the original two equations.

1 answer

ANS: 3x + 2y - z - 18 = 0
Similar Questions
  1. You are given the following two planes:x+4y-3z-12=0 x+6y-2z-22=0 a) Determine if the planes are parallel b) Fine the line of
    1. answers icon 0 answers
  2. You are given the following two planes:x+4y-3z-12=0 x+6y-2z-22=0 a) Use the two original equations to determine two other
    1. answers icon 0 answers
  3. Consider the following planes.5x − 4y + z = 1, 4x + y − 5z = 5 a) Find parametric equations for the line of intersection of
    1. answers icon 1 answer
  4. For the following plane equations:x + 2y + 3z = 1 2x + 5y + 3z = -1 x + bz = c Find all values of b and c such that all planes
    1. answers icon 1 answer
more similar questions