10
QuizMultiple Choice

Vector Addition and Subtraction — Quiz

Question 10 • Math 4

Vector u has initial point at open paren 3 comma 9 close paren and terminal point at open paren negative 7 comma 5 close paren Vector v has initial point at open paren 1 comma negative 4 close paren and terminal point at open paren 6 comma negative 1 close paren What is vector u plus vector v in component form?

Answer
A
components negative 10 comma negative 4
B
components negative 5 comma negative 1
C
components 3 comma 9
D
components 5 comma 3

Explanation

Find each vector by subtracting its initial point from its terminal point. Vector u is (−7 − 3, 5 − 9) = (−10, −4), and vector v is (6 − 1, −1 − (−4)) = (5, 3). Add corresponding components: (−10 + 5, −4 + 3) = (−5, −1), so the answer is components negative 5, negative 1.

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