
geometry - How do you find the area of parallelogram from only the ...
Apr 5, 2021 · It's not elegant, but I would probably find the four vertices, and compute the area using the "Shoelace Theorem" (or the scalar product) if you have learnt it before. If you want to stay away from …
Why determinant of a 2 by 2 matrix is the area of a parallelogram?
Since the shears do not change area, and we know the area of the rectangle formed by (a,0) and (0,d), the area of two arbitrary vectors may be expressed by its determinant, which we have shown to be …
Area of a parallelogram using 4 points | Wyzant Ask An Expert
Joey O. asked • 07/20/15 Area of a parallelogram using 4 points I need some help using vectors to find the area of this parallelogram. I use three points to create two vectors with the same initial points and …
How do you find the area of a parallelogram with the vertices?
Oct 13, 2016 · How do you find the area of a parallelogram with the vertices? [closed] Ask Question Asked 9 years, 2 months ago Modified 6 years, 10 months ago
calculus - Finding the area of a parallelogram with vectors ...
Mar 13, 2020 · Hint: the area will be the same as the area of the parallelogram formed by the vectors $\langle -2, 1, 0 \rangle$ and $\langle 1, 3, 0 \rangle$.
how to calculate height of parallelogram - Mathematics Stack Exchange
Sep 19, 2016 · Maybe lose the $1/2$ factor in the formula for the area. It is a formula for a parallelogram, not a triangle.
Area of a parallelogram, vertices $ (-1,-1), (4,1), (5,3), (10,5)$.
"Hint: the area of a parallelogram (see left-most image) is equal to the determinant of the 2×2 matrix formed by the column vectors representing component vectors determined by the given points." But …
Find the area of the parallelogram determined by these four points
Oct 26, 2014 · What are the subtasks here? 1) What vector direction is perpendicular to the (-4,-1,3) vector, in the parallelogram plane? To find the parallelogram plane, you might solve the general …
How to calculate area of parallelogram given vectors
Feb 28, 2015 · How to calculate area of parallelogram given vectors Ask Question Asked 10 years, 9 months ago Modified 10 years, 9 months ago
Proving a formula for the area of a parallelogram from coordinates
Sep 23, 2019 · You may want to try subtracting the area of the two rectangles and four triangles from the big rectangle. This gives you a non trigonometric solution.