Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is u. (v × w)| to determine the volume of the tetrahedron with vertices P(-4,7,0), Q(2, 1, –3), R(1,0,1) and S(3,-2, 3). ENOTE: Enter the eract answer.

Q: Find the area of the triangle in the plane with vertices (3, 2), (7,3), and (6, -7). Area = 0

A:

Q: Find the area of the hyperbolic (geodesic) triangle with vertices (3,0), (4,0) and (5,0).

A: Let P(3,0), Q(4,0) and R(5,0) be three vertices.  It is known that the equation of hyperbolic line…

Q: Find the area of the triangle with vertices: Q(4,-1,4), R(6,0,6), S(8,-4,7).

A: To find  The area of a traingle with vertices.

Q: Find the area of the triangle with vertices: Q(0,2,-2), R(-1,3,-5), S(-3,-1,-8).

A:

Q: 2. Let ~v = h3,-2,1i and w = h-1,4,2i. (a) Find cos(0) where 0 is the angle betwen ~v and w.

A: Given,   v→=3,-2,1 and w→=-1,4,2

Q: Let U = (2,1,0), V = (1,0,1), and W = (2, −1,1). Find the area of the triangle UVW

A: