Question: Find the angle between the planes x + y + z = 1 and x 2 y + 3 z = 1 . Obtain the

  1. Find the angle between the planes x+y+z=1 and x2y+3z=1. Obtain the symmetric equations for the line of intersection L of these two planes. and draw its graph
  2. Identify and sketch the contour lines for the following function 4z+2y2x=0
  3. Identify and sketch the traces of the following function. (Find the 2 traces: one, which is obtained by connecting x = a, in the equation, and the other, connecting y = b, in the equation) 2x3y+z2=1
  4. The traces and contour lines allow us to know the behavior of these graphs with respect to their axes. Describe the level surfaces of the function for c = 4, c = 0, c = 16. f(x,y,z)=6x2+y2+z2

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