2. Turn off Show resultant. With the initial points at the origin, change a to <1, 3> and b to <4, 2>. Sketch these vectors on the grid to the right. A. What do you expect the components of the resultant to be? B. Turn on Show resultant, and sketch the resultant in your diagram. What are the components of the resultant? 3 2 19 2 y ? 23456 x C. In general, how can you use the components of a and b to find the components of c? Select Show sum computation to check your answer. Vary the components of a and b to check that a vector sum can always be found by adding the corresponding components of the vectors. D. Drag the initial point of b to the terminal point of a. What do you notice?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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2. Turn off Show resultant. With the initial points at the
origin, change a to <1, 3> and b to <4, 2>. Sketch
these vectors on the grid to the right.
A. What do you expect the components of the
resultant to be?
B. Turn on Show resultant, and sketch the
resultant in your diagram. What are the
components of the resultant?
5
4
3
2
y
1
-1
-2
C. In general, how can you use the components of a and b to find the components of c?
Select Show sum computation to check your answer. Vary the components of a
and b to check that a vector sum can always be found by adding the corresponding
components of the vectors.
D. Drag the initial point of b to the terminal point of a. What do you notice?
Transcribed Image Text:2. Turn off Show resultant. With the initial points at the origin, change a to <1, 3> and b to <4, 2>. Sketch these vectors on the grid to the right. A. What do you expect the components of the resultant to be? B. Turn on Show resultant, and sketch the resultant in your diagram. What are the components of the resultant? 5 4 3 2 y 1 -1 -2 C. In general, how can you use the components of a and b to find the components of c? Select Show sum computation to check your answer. Vary the components of a and b to check that a vector sum can always be found by adding the corresponding components of the vectors. D. Drag the initial point of b to the terminal point of a. What do you notice?
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