Let u = 〈1,5〉 and v = 〈3, −2〉. write each vector in component form and draw an arrow to represent the vector.
a. u + v
b. u − v
c. 2u + 3v

a. 〈4,3〉

b. 〈-2,7〉

c. 〈11,4〉

Step-by-step explanation:

a. u + v

〈1,5〉 + 〈3, −2〉

〈1+3,5-2〉

〈4,3〉

b. u - v

〈1,5〉 - 〈3, -2〉

〈1-3,5-(-2)〉

〈-2,7〉

c. 2u + 3v

2*〈1,5〉 + 3*〈3,-2〉

〈2*1,2*5〉 + 〈3*3,3*(-2)〉

〈2,10〉 + 〈9,-6〉

〈2+9,10-6〉

〈11,4〉

To draw the vectors, let's put them on the origin (0,0), so let's draw the line until the point of its component form, with an arrow. The vectors are shown below.

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