Answer: First option
v-3u = 11 j
Step-by-step explanation:
To find the components of the vector v, you must locate the initial and final points of the vector on the graph.
Final point
(7, 2)
Initial point
(-5, 0)
Then the vector v will have the following components:
[tex]v = (7 - (- 5)) i + (2-0) j\\\\v = (7 + 5) i + 2j\\\\v = 12i + 2j[/tex]
Now multiply the vector u by -3
[tex]u = (4, -3)\\\\u =4i -3j\\\\-3u = -12i + 9j[/tex]
Now add both vectors.
[tex]v-3u = (12-12) i + (2 + 9) j\\\\v-3u = 0i + 11j\\\\v-3u = 11j[/tex]
