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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?.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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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?.
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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