Pre calculus HW question

Question

Write the given vector in terms of i and j.

u = (1, 5)

u= (0, -3)

Answer 1

i is the vector from (0,0) to (1,0) and j is the vector from (0,0) to (0,1)

u = (1,5) = 1(1,0) + 5(0,1) = 1i + 5j

v = (0,-3) = 0(1,0) -3(0,1) = 0i - 3j = -3j