Question

Given vector u = (4,-3) and the graph of vector v, find v - 3u and express the result of terms in i and j

Answer 1

Answer: First option

v-3u = 11 j

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:

`v = (7 - (- 5)) i + (2-0) j\\\\v = (7 + 5) i + 2j\\\\v = 12i + 2j`

Now multiply the vector u by -3

`u = (4, -3)\\\\u =4i -3j\\\\-3u = -12i + 9j`

Now add both vectors.

`v-3u = (12-12) i + (2 + 9) j\\\\v-3u = 0i + 11j\\\\v-3u = 11j`