Find the equation for the plane passing through the heads of the three given vectors
(2, 2, 0)
(−1, 2, 1)
(1, 1, 4)
Is this just another way of asking what is the plane passing through these points, or does "through the heads" mean something different.
Thanks.
Simply ensure that all three points are on the plane. A point and two direction vectors are required to define a plane.
By stating "head of the three vectors", this implies that the vectors are coming from the origin (with the tail at 0,0,0). The "head" essentially represents a point on the plane.