4. for each of the following pairs of vectors v1 = (x1, y1) and v2 = (x2, y2) in (a)–(e), carry out the following steps: (i) the lines through v1 and v2 generate a grid (of parallelograms) on the xy-plane. sketch v1, v2, and this grid. (ii) find the area of one of the parallelgrams by computing the determinant of the matrix x1 x2 y1 y2 . is this matrix invertible? (iii) determine whether {v1, v2} is a basis of r 2 .

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.