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# C4 Vectors question watch

1. Q:

Points A, B and C have coordinates (5, -1, 0), (2, 4, 10) and (6, -1, 4) respectively.

(a) Find the vectors and

(b) Find the area of the triangle ABC

(c) Point D is such that the point A, B, C and D form the vertices of a parallelogram. Find the coordinates of three possible positions of D.

--------

(a) =

=

(b) Area of triangle = 15.07 units^2

(c) Need help in this part.

Zacken any help with part (c) please?
2. What's the definition of parallelogram?
3. (Original post by Zacken)
What's the definition of parallelogram?
A four sided shape, with opposite sides parallel I guess?
A four sided shape, with opposite sides parallel I guess?
Yep, so set up your D such that CD is parallel to AB or DA is parallel to another side or etc...
5. (Original post by Zacken)
Yep, so set up your D such that CD is parallel to AB or DA is parallel to another side or etc...
Yes, I managed to sketch three possible shapes, however failed to deduce regardless, the coordinates of D.

Probably missing out on something silly here.

Vectors

Yes, I managed to sketch three possible shapes, however failed to deduce regardless, the coordinates of D.

Probably missing out on something silly here.

Vectors
Set and then look at , or along those lines and equate AD with the opposite side of AD - since it's a parallelogram, then compare components, etc...
7. (Original post by Zacken)
Set and then look at , or along those lines and equate AD with the opposite side of AD - since it's a parallelogram, then compare components, etc...
Alright, got my answers.. This was my first shape-like vector question, so i struggled.

=

=

=

So in coordinates (9, -6, -6), (1, 4, 6) and (3, 4, 14)

Thank you Zacken
Thank you Zacken
First class work!

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