Should the straight wire antenna of a radio be vertical or horizontal to best receive radio waves broadcast by a vertical transmitter antenna? How should a loop antenna be aligned to best receive the signals? (Note that the direction of the loop that produces the best reception can be used to determine the location of the source. It is used for that purpose in tracking tagged animals in nature studies, for example.)

Thomas 1 Trigonometry Example: Pythagorean Theorem: Scalars & Vectors Scalar quantities are just a number 1. Examples: a. Temperature b. Height c. Mass 2. Note that scaler quantities exclude physical quantities Vector Quantities 1. Vectors are described by magnitude and direction arrows. a. The arrows indicate the direction of the vector. b. Vectors can be used to describe forces, acceleration, and velocity. c. R vectors is proportional to the magnitude of the vector. Vector Addition 1. Consider magnitude and direction while using these. 2. All vectors as seen on a diagram should be attached head to tail unless it is the R vector. Example 1: Find the magnitude and direction of R using addition when A is 275m East and B is 125m North. A. Add A and B: R = A + B → R = 275m + 125m → 400 m B. To solve for magnitude of R: R = |R| = +R = √A + 2 →R = 27√ + 125 = 302 m C. To solve for R’s direction: (Tip: Use the Trig equation that best suits the problem.) Thomas 2 125 tan∅ = → ∅ = tan −1 → tan −1 = 26.6○ 275 Components of Vectors 1. When you can’t use the Pythagorean theore