5
RCMultiple Choice

Unit Test — Cumulative exam

Question 5 • TX-Pre-Calculus

Determine the magnitude and the ordered pair that represents the vector from (18,3) to (-4,16).

Answer
A
(22,-13); magnitude=25
B
(-22,13); magnitude=25.6
C
(13,-22) magnitude=26
D
(-13,22) magnitude=25.2

Explanation

Subtract the starting point (18, 3) from the ending point (−4, 16): (−4 − 18, 16 − 3) = (−22, 13). The magnitude is √((−22)² + 13²) = √653 ≈ 25.6, so the correct choice is (−22, 13); magnitude = 25.6.

AI-written and checked against the verified answer.

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