Gizmo Warm-up A vector is a representation of something with both size, or magnitude, and direction. For example, a moving car can be represented by a vector because the car has both speed (magnitude) and direction. On a graph, vectors are represented by arrows. The base of the arrow is the initial point and the tip of the arrow is the terminal point. 3 2 D 2 1. Drag the initial point (the circle) of vector a to the origin. This vector is now said to be in standard position. Notice the components of a shown in brackets like this: <_, _>. What are the components of a?. 2. Drag the initial point of vector a around. A. Does this change the components of a?. B. Compare the coordinates of the initial and terminal points of a to its components. How can you find the components of vector a?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Gizmo Warm-up
A vector is a representation of something with both size, or
magnitude, and direction. For example, a moving car can be
represented by a vector because the car has both speed (magnitude)
and direction.
On a graph, vectors are represented by arrows. The base of the arrow
is the initial point and the tip of the arrow is the terminal point.
3
2
D
2
1. Drag the initial point (the circle) of vector a to the origin. This vector is now said to be in
standard position. Notice the components of a shown in brackets like this: <_, _>.
What are the components of a?.
2. Drag the initial point of vector a around.
A. Does this change the components of a?.
B. Compare the coordinates of the initial and terminal points of a to its components.
How can you find the components of vector a?
Transcribed Image Text:Gizmo Warm-up A vector is a representation of something with both size, or magnitude, and direction. For example, a moving car can be represented by a vector because the car has both speed (magnitude) and direction. On a graph, vectors are represented by arrows. The base of the arrow is the initial point and the tip of the arrow is the terminal point. 3 2 D 2 1. Drag the initial point (the circle) of vector a to the origin. This vector is now said to be in standard position. Notice the components of a shown in brackets like this: <_, _>. What are the components of a?. 2. Drag the initial point of vector a around. A. Does this change the components of a?. B. Compare the coordinates of the initial and terminal points of a to its components. How can you find the components of vector a?
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