Consider the points A(3,-3, 2), B(6, -5,0), C(-1, –4,0), and D(6,3,-4). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AD as adjacent edges. NOTE: Enter the exact answer. Volume = (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. Distance =

Q: Graph and find the area of the parallelogram formed by the vectors u = and v = .

A:

Q: Find the distance from the point (7, -14, -21) to the plane:  2x - 3y - 6z = 1

A:

Q: 5) Flights 104 and 217 are both approaching Norfolk International Airport from opposite directions…

A: Given, Flights 104 and 217 are both approaching Norfolk International Airport from opposite…

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (6, 3, -2). b= (0,…

A: The volume Parallelepiped by the vector a, b and c is given as:

Q: Consider the points A(1,-1, 4), B(2, –3, 2), C(-1,-2, 2), and D(4,3, -6). (a) Find the volume of the…

A: Let's find.

Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: To find the volume of the parallelepiped formed by given vectors.

Q: Use the cross product to find an equation for the plane that passes thru the points (1, 2, 3), (4,…

A:

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (4, 2, -2), b = 3…

A: Given:- a = (4, 2,-2), b = (0, 2, 1), c = (4, -3, 4) To find :- Volume of Parallelepiped

Q: Find the distance from the point P(-1,3,-5) to the plane through the three points Q(3, 1, -3). R(4,…

A: The points passing through the plane are: Q3, 1, -3R4, 6, -5S5, -4, -6