7
QuizMultiple Choice

Vector Addition and Subtraction — Quiz

Question 7 • Math 4

Vector u has initial point at open paren 6 comma 8 close paren and terminal point at open paren 3 comma negative 2 close paren Vector v has initial point at open paren negative 4 comma negative 3 close paren and terminal point at open paren 1 comma negative 7 close paren What is u minus v in component form?

Answer
A
components 8 comma 6
B
components negative 2 comma negative 6
C
components 12 comma 16
D
components negative 8 comma negative 6

Explanation

Find each vector by subtracting its initial point from its terminal point: u = (3 − 6, −2 − 8) = (−3, −10), and v = (1 − (−4), −7 − (−3)) = (5, −4). Then subtract component by component: u − v = (−3 − 5, −10 − (−4)) = (−8, −6). The correct choice is D, components negative 8 comma negative 6.

AI-written and checked against the verified answer.

Previous
Next