Modeling with Vector Quantities — Test

Question 6 • Precalculus

Which diagram shows the parallelogram method for vector addition?

Answer

Image with description Vectors v and u share an origin. Vector v goes up and to the left, and vector u goes down and to the right. Vector u + v shares an origin with the vectors v and u and goes down and to the right and is double the size of vectors v and u.

Image with description Vectors v and u share an origin. Vector v goes up and to the left, and vector u goes down and to the right. Vector u + v shares an origin with the terminal point of vector u, and shares a terminal point with the terminal point of vector v.

Image with description Vectors v and u share an origin. Vector v goes up and to the left, and vector u goes down and to the right. Vector u + v shares a terminal point with the terminal point of vector u, and shares an origin with the terminal point of vector v.

Explanation

In the parallelogram method, the two vectors start at the same point, and their sum is the diagonal drawn from that shared origin to the opposite corner of the parallelogram. Choice D shows the sum starting at the same origin as u and v. Choice A adds an unsupported claim about the sum being twice as long as either vector.

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