Vector A has a magnitude of 2.5 m/s at a direction of 18 degrees and Vector B has a magnitude of 4.5 m/s at a direction of 240 degrees. A) Sketch the two vectors roughly to scale, and find their sum C= A + B using a graphical method. B) Find the components of A and B, including any necessary negative signs. C) Find the magnitude and direction of C using the algebraic/components method.

Vector A has a magnitude of 2.5 m/s at a direction of 18 degrees and Vector B has a magnitude of 4.5 m/s at a direction of 240 degrees. A) Sketch the two vectors roughly to scale, and find their sum C= A + B using a graphical method. B) Find the components of A and B, including any necessary negative signs. C) Find the magnitude and direction of C using the algebraic/components method.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 16T

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Question

Vector A has a magnitude of 2.5 m/s at a direction of 18 degrees and Vector B has a magnitude of 4.5 m/s at a direction of 240 degrees.

A) Sketch the two vectors roughly to scale, and find their sum C= A + B using a graphical method.

B) Find the components of A and B, including any necessary negative signs.

C) Find the magnitude and direction of C using the algebraic/components method.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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