The three vectors , , and each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,
Then the cross product of these two results is normal to the plane:
Let be a point on the plane. Then the vector connecting to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that
which reduces to the equation of the plane,
Let . Then the volume of the region above and below the plane is
Answer:
Try 7986
Step-by-step explanation:
(a+b) × height ÷ 2
(a+b are the parallel sides)
102+140=242 ×66= 15972 ÷2= 7986