The vector AB = (6, −4) and vector BC = (−2, 7). What is the vector AC?

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Question

The vector AB = (6, −4) and vector BC = (−2, 7). What is the vector AC?

Accepted Answer

Vector AC = (4, 3) — Using the vector addition rule: AC = AB + BC = (6 + (−2), −4 + 7) = (4, 3). Option B subtracts BC from AB instead of adding. Option C negates the correct answer, confusing direction. Option D correctly adds x-components but uses −7 instead of +7 for the y-component.

Answer

Vector AC = (8, −11)

Answer

Vector AC = (4, −3)

Answer

Vector AC = (−8, 11)

Answer

Vector AC = (4, 3)

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