SOLUTION: The plane Ax + By + Cz = 60 has an x-intercept of -5, a y- intercept of 6, and a z-intercept of 4. Find A, B, and C.

When we consider x-intercept, we have this intercept at the x-axis, where  y=0  and  z=0.
Then the intercept equation becomes

    A*(-5) = 60,    which implies A =  = -12.

So, the coefficient A is just found. It is A = -12.



When we consider y-intercept, we have this intercept at the y-axis, where  x=0  and  z=0.
Then the intercept equation becomes

    B*6 = 60,    which implies B =  = 10.

So, the coefficient B is just found. It is B = 10.



From this point, can you complete the assignment on your own ?


Apply the same logic to find C.