Do the following given the points P(1,0,-2), Q(-1,1,0), R(0, -1,2) and S, such that the region...

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Do the following given the points P(1,0,-2), Q(-1,1,0), R(0, -1,2) and S, such that the region PQRS is a parallelogram. (a) Find a vector n that is orthogonal to both QP and QR. (b) Verify that n is orthogonal to QP. (c) Find the area of parallelogram PQRS. (d) Find an equation of the plane through the points P, Q, and R. (e) Find the coordinates of point S if S lies opposite point Q. Do the following given the points P(1,0,-2), Q(-1,1,0), R(0, -1,2) and S, such that the region PQRS is a parallelogram. (a) Find a vector n that is orthogonal to both QP and QR. (b) Verify that n is orthogonal to QP. (c) Find the area of parallelogram PQRS. (d) Find an equation of the plane through the points P, Q, and R. (e) Find the coordinates of point S if S lies opposite point Q.

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a To find a vector n that is orthogonal to both QP and QR we can first find the vectors QP and QR by ... View the full answer