3. Suppose a and b have initial points at the origin, and a = <-5, -1> and b = <1, 4>. A. Add the components of a and b to find the components of the resultant, c. Show your work in the space below. y 5 4 3 2 + B. Sketch a, b, and c on the grid to the right. Check your answer in the Gizmo. C. Drag the initial point of b onto the terminal point of a. Sketch the result on the grid above. Notice that the vectors in your sketch form three sides of a parallelogram. D. Sketch the fourth side of the parallelogram above. Which vector forms the fourth Turn on Show resultant and Show parallelogram to check. side? E. What part of the parallelogram is c, the resultant? F. Compare the coordinates of the terminal point of c to the sum of a and b (the components of c). What do you notice?. G. Drag a and b to make new vectors. Be sure to keep the initial point of a at the origin and the initial point of b on the terminal point of a. Is a + b always the same as the coordinates of the terminal point of c?.
3. Suppose a and b have initial points at the origin, and a = <-5, -1> and b = <1, 4>. A. Add the components of a and b to find the components of the resultant, c. Show your work in the space below. y 5 4 3 2 + B. Sketch a, b, and c on the grid to the right. Check your answer in the Gizmo. C. Drag the initial point of b onto the terminal point of a. Sketch the result on the grid above. Notice that the vectors in your sketch form three sides of a parallelogram. D. Sketch the fourth side of the parallelogram above. Which vector forms the fourth Turn on Show resultant and Show parallelogram to check. side? E. What part of the parallelogram is c, the resultant? F. Compare the coordinates of the terminal point of c to the sum of a and b (the components of c). What do you notice?. G. Drag a and b to make new vectors. Be sure to keep the initial point of a at the origin and the initial point of b on the terminal point of a. Is a + b always the same as the coordinates of the terminal point of c?.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
Transcribed Image Text:3. Suppose a and b have initial points at the origin, and a = <-5, -1> and b = <1, 4>.
A. Add the components of a and b to find
the components of the resultant, c.
Show your work in the space below.
y
5
4
3
2
+
B. Sketch a, b, and c on the grid to the
right. Check your answer in the Gizmo.
C. Drag the initial point of b onto the terminal point of a. Sketch the result on the grid
above. Notice that the vectors in your sketch form three sides of a parallelogram.
D. Sketch the fourth side of the parallelogram above. Which vector forms the fourth
Turn on Show resultant and Show parallelogram to check.
side?
E. What part of the parallelogram is c, the resultant?
F. Compare the coordinates of the terminal point of c to the sum of a and b (the
components of c). What do you notice?.
G. Drag a and b to make new vectors. Be sure to keep the initial point of a at the origin
and the initial point of b on the terminal point of a.
Is a + b always the same as the coordinates of the terminal point of c?.
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