The equations of two planes are given by x+y -z 1 and 2x +y+z = 3....

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The equations of two planes are given by x+y -z 1 and 2x +y+z = 3. A line L has the parametric equations x = a + 2t, y b+ct, z = 2 + dt where a, b, c and d are nonzero constants. The line L is the intersection of these two planes. Determine the value of a +b+c+d. The equations of two planes are given by x+y -z 1 and 2x +y+z = 3. A line L has the parametric equations x = a + 2t, y b+ct, z = 2 + dt where a, b, c and d are nonzero constants. The line L is the intersection of these two planes. Determine the value of a +b+c+d.