Posted by **Muja** on Sunday, March 23, 2014 at 1:33am.

show that the quadrilateral with vertices at the following points is a parallelogram and find its area. a = (5,2,0), b = (2,6,1), c = (2,4,7), d = (5,0,6)

- College Math -
**Steve**, Sunday, March 23, 2014 at 6:26am
AB has direction (-3,4,1)

BC has direction (0,-2,6)

CD has direction (3,-4,-1)

DA has direction (0,-2,6)

So, AB || CD

and BC || AD

since the sides are parallel in pairs, they must have the same lengths in pairs (I trust you can verify this).

the area is just

|(b-a)x(d-a)|

where a,b,c,d are the vectors to the points A,B,C,D.

- College Math -
**Muja**, Sunday, March 23, 2014 at 7:01am
thanks steve. u really help me out.. really appreciate it .. =)

## Answer This Question

## Related Questions

- Math - show that the quadrilateral with vertices at the following points is a ...
- geometry - Given: QRST is a parallelogram. Prove: QRST is a square. Complete ...
- math - A parallelogram is a convex quadrilateral with four vertices and two sets...
- Perimeter and Area - The set of points (2, 3), (9, 3), (9, 2), and (2, 2) ...
- geometry CA - Graph quadrilateral ABCD. Then determine the most precise name for...
- Math - True or False. A quadrilateral with these following vertices is a ...
- Linear Algebra - Ok this is the last one I promise! It's from a sample exam and ...
- Algebra 1--Please, help me! - The coordinates of the vertices of a quadrilateral...
- Geometry MATH - the vertices of a quadrilateral are A(-4,-3), B(2,-3), C(4,-6) ...
- geometry - What is the most precise name for quadrilateral ABCD with vertices A...

More Related Questions