Answer: 22j
Explanation:
1) From the graph you can calculate the vector v as folllows:
Translation of the extreme (-5,0) to the origin (0,0) implies add 5 units to - 5.
Then, add 5 units to the x-coordinate of the other extreme: 7 + 5 = 12; and keep the y-coordinate, which is 2.
Therefore, the coordinates of the vector v are (12,2)
2) Now you can find the vector v - 4u applying the operations to the coordinates of the two vectors:
v - 4u = (12,2) - 4(3, -5) = (12,2) - (12,-20) = (12 - 12, 2 + 20) = (0,22)
3) Changing the notation in terms to i, j; that is 0i + 22j = 22j
