2. With the initial point of a at the origin, drag the terminal point so a = <3, 4>. (Drag vector b out of the way for now.) A. How does the direction of a change?, B. Create a right triangle on the grid to the right that has vector a as the hypotenuse. The legs of the right triangle are the components of vector a. Label the legs of the triangle a and b, and the hypotenuse c. C. Use the Pythagorean Theorem (a² + b² = c²) to find the length of the hypotenuse, c. This is the magnitude of a. 4 3 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 45E
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2. With the initial point of a at the origin, drag the terminal point so a = <3, 4>. (Drag vector b
out of the way for now.)
A. How does the direction of a change?,
B. Create a right triangle on the grid to the right that has
vector a as the hypotenuse. The legs of the right triangle
are the components of vector a. Label the legs of the
triangle a and b, and the hypotenuse c.
C. Use the Pythagorean Theorem (a² + b² = c²) to find the
length of the hypotenuse, c. This is the magnitude of a.
4
3
2
Transcribed Image Text:2. With the initial point of a at the origin, drag the terminal point so a = <3, 4>. (Drag vector b out of the way for now.) A. How does the direction of a change?, B. Create a right triangle on the grid to the right that has vector a as the hypotenuse. The legs of the right triangle are the components of vector a. Label the legs of the triangle a and b, and the hypotenuse c. C. Use the Pythagorean Theorem (a² + b² = c²) to find the length of the hypotenuse, c. This is the magnitude of a. 4 3 2
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