Question 1 : Let and = Compute the area of the parallelogram determined by four points with position vectors ủ, v, ủ + v, 0. Compute the determinant of the 2 x 2 matrix ů, v|. How do they compare?...

Extracted text: Question 1 : Let and = Compute the area of the parallelogram determined by four points with position vectors ủ, v, ủ + v, 0. Compute the determinant of the 2 x 2 matrix ů, v|. How do they compare? Replace the first entry of by an arbitrary number x, and repeat the problem. Draw a picture of both parallelograms and explain geometrically what happens to the area of the parallelogram when the first coordinate of v is changed to х. 3.