Question

PRE-CALC/VECTORS IN THREE DIMENSIONAL SPACE PROBLEM

Answer 1

For this case we have the following vectors:
 v = (4, -3, 5)
 w = (2, 6, -1)
 We want to calculate the following operation:
 u = 0.75v + 0.25w
 We have then:
 u = 0.75 (4, -3, 5) + 0.25 (2, 6, -1)
 Rewriting we have:
 u = (3, -2.25, 3.75) + (0.5, 1.5, -0.25)
 u = ((3 + 0.5), (-2.25 + 1.5), (3.75-0.25))
 u = (3.5, -0.75, 3.5)
 Answer:
 u = (3.5, -0.75, 3.5)
 option C