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The Humongous Book of Trigonometry Problems by W. Michael Kelley

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Adding and Subtracting Graphically

Head-to-tail technique

15.1    Describe the technique used to add vectors graphically in the coordinate plane.

The sum of two vectors is also a vector, and it is a simple matter to visualize that sum in the coordinate plane through a technique known informally as the head-to-tail method. To add vector w to vector v, place the initial point of w at the terminal point of v. The sum v + w is called the resultant vector; it shares an initial point with v and a terminal point with w.

In other words, move w so it starts exactly where v ends.

15.2    Given v = <2,0>, calculate v + v by plotting the resultant vector in the coordinate plane.

Vector v = <2,0> is a horizontal vector with a magnitude of 2 and a direction ...

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