Let u = 〈1,5〉 and v = 〈3, −2〉. Write each vector in component form and draw an arrow to represent the vector.
1 answer:
Answer:
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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