Q1LetandCompute the area of the parallelogram determined by four points with position vectors ủ, v, ủ + ở, 0. Compute thedeterminant of the 2 × 2 matrix [ ủ, ū]. How do they compare? Replace the first entry of v by an arbitrary numberx, and repeat the problem. Drawa picture of both parallelograms and explain geometrically what happens to thearea of the parallelogram when the first coordinate of ở is changed to x.

In this question, concept of determinant is applied. Determinant Determinants are a sort of scaling…

Compute the area of the parallelogram determined by four points with position vectors ủ, v, ủ + v, 0. Compute the determinant of the 2 × 2 matrix [ i, v]. How do they compare? Replace the first entry of v by an arbitrary number c, 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 3 is changed to r