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The Humongous Book of Trigonometry Problems by W. Michael Kelley

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Vector Projections and Work

Create specific orthogonal vectors

16.41 Given the diagram below, plot vectors a and b such that a + b = v. Explain why the solution is not unique.

In other words, explain why there isn’t one correct answer to this problem.

As Problems 15.1–15.3 demonstrate, you add vectors in the coordinate plane using the head-to-tail method. The terminal point of the first vector acts as the initial point of the second vector. In this problem, you are asked to create two vectors, a and b, that have a sum of v. Plot any vector in standard position and label this vector a. Then, plot a new vector b with an initial point at the terminal ...

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