Determine whether the given planes are the same. 9(x + 7) + 7(y + 2) - (z + 4) = 0
9(x + 8) + 7(y - 8) - (z + 6) = 0
A) The planes are the same.
B) The planes are not the same.

Question

Quizplus · Accepted Answer

To compare the two planes, we need to check if they have the same normal vector. The normal vector of the first plane is <9,7,-1> and the normal vector of the second plane is <9,7,-1>. However, the constant terms in the two equations are different, which means that the two planes are parallel but not the same.

Determine Whether the Given Planes Are the Same