220k views
3 votes
Given vector u = (4,-3) and the graph of vector v, find v - 3u and express the result of terms in i and j

Given vector u = (4,-3) and the graph of vector v, find v - 3u and express the result-example-1
Given vector u = (4,-3) and the graph of vector v, find v - 3u and express the result-example-1
Given vector u = (4,-3) and the graph of vector v, find v - 3u and express the result-example-2

1 Answer

5 votes

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

User Komal Waseem
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories