[i] Let ABCD be a parallelogram where A is (2,−1,−3), B is (1,0,−2) and C is (2,3,1). (a) Find the coordinates of D. Hint:- Draw a parallelogram ABCD. Let D be (x,y,z). Notice that the parallelogram must have this property, AB=DC and BC=AD. Use it to find D. (b) Once you have found D, find the area of this parallelogram.
[i] Let ABCD be a parallelogram where A is (2,−1,−3), B is (1,0,−2) and C is (2,3,1).
(a) Find the coordinates of D.
Hint:- Draw a parallelogram ABCD. Let D be (x,y,z). Notice that the parallelogram must have this property, AB=DC and BC=AD. Use it to find D.
(b) Once you have found D, find the area of this parallelogram.
[ii] Let ABCD be a tetrahedron with A(−4,1,2), B(0,2,−2), C(1,−1,2) and D(1,0,2). Find
(c) The surface area of the side ABC.
(d) The volume of the tetrahedron.
Written solution with steps please, thank you!
![[i] Let ABCD be a parallelogram where A is (2, -1, -3), B is (1,0, -2) and C' is
(2, 3, 1).
(a) Find the coordinates of D.
Hint:- Draw a parallelogram ABCD. Let D be (x, y, z). Notice that the parallelogram must
have this property, AB = DC and BC = AD. Use it to find D.
(b) Once you have found D, find the area of this parallelogram.
[ii] Let ABCD be a tetrahedron with A(-4, 1, 2), B(0, 2, -2), C(1,-1, 2) and D(1,0,2).
Find
(c) The surface area of the side ABC.
(d) The volume of the tetrahedron.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb53db00-9faa-4d80-bb52-fcc9c403b27e%2F5d75f7bf-0a75-4932-ae5f-2b6989db7bfe%2F8a7c02_processed.png&w=3840&q=75)
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Solution to Part ii) of the question above is missing:
[ii] Let ABCD be a tetrahedron with A(−4,1,2), B(0,2,−2), C(1,−1,2) and D(1,0,2). Find
(c) The surface area of the side ABC.
(d) The volume of the tetrahedron.
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