A parallelogram is formed in R^3 by the vectors PA=(3, 2, -3) and PB=(4, 1, 5). The point P=(0, 2, 3) Find the area of the parallelogram.

Expert Answers info

justaguide eNotes educator | Certified Educator

calendarEducator since 2010

write12,544 answers

starTop subjects are Math, Science, and Business

One side of the parallelogram is the vector PA and another is PB. Let the fourth vertex be C.

The vertex A is (0, 2, 3) + (3, 2, -3) = (3, 4, 0)

The vertex B is (0, 2, 3) + (4, 1, 5) = (4, 3, 8)

The fourth vertex C is A + PB = (7, 5, 5)

Now, the diagonals of the parallelogram are:

AB = (3, 4, 0) - (4, 3, 8) = (-1, 1, -8). |AB| = sqrt...

(The entire section contains 153 words.)

Unlock This Answer Now


check Approved by eNotes Editorial