1. Recall that all vectors have magnitude (length) and direction. Magnitude is a scalar, or a number that does not indicate direction. A. Use north, south, east, or west to give the direction of a = <4, 0> and b = <0, –3>. a b B. The expressions ||a|| and ||b|| represent the magnitudes of a and b, respectively. Find ||a|| and ||b||. ||a|| = ||b|| = Select Show ruler to open the Gizmo rulers. Attach the "donuts" to the initial and terminal points of the vectors to check your answers. C. The magnitude of a vector is always positive. Why do you think this is true?

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Chapter2: Vectors
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Please, can someone explain how to do this? I don't understand. 

Get the Gizmo ready:
Activity A:
• Drag the initial points of both vectors to the origin.
• Drag the terminal point of a to (4, 0) and the
terminal point of b to (0, –3).
Describing
vectors
1. Recall that all vectors have magnitude (length) and direction. Magnitude is a scalar, or a number that does
not indicate direction.
A. Use north, south, east, or west to give the direction of a = <4, 0> and b = <0, –3>.
b
B. The expressions ||a|| and ||b|| represent the magnitudes of a and b, respectively. Find ||a|| and ||b||.
||a|| =
||b|| =
Select Show ruler to open the Gizmo rulers. Attach the "donuts" to the initial and terminal points of
the vectors to check your answers.
C. The magnitude of a vector is always positive. Why do you think this is true?
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. Hand
draw on the image or click on it to select EDIT to use the drawing tool.
3.
C. Use the Pythagorean Theorem (a? + b? = c²) to find the length of the
hypotenuse, c. This is the magnitude of a.
Transcribed Image Text:Get the Gizmo ready: Activity A: • Drag the initial points of both vectors to the origin. • Drag the terminal point of a to (4, 0) and the terminal point of b to (0, –3). Describing vectors 1. Recall that all vectors have magnitude (length) and direction. Magnitude is a scalar, or a number that does not indicate direction. A. Use north, south, east, or west to give the direction of a = <4, 0> and b = <0, –3>. b B. The expressions ||a|| and ||b|| represent the magnitudes of a and b, respectively. Find ||a|| and ||b||. ||a|| = ||b|| = Select Show ruler to open the Gizmo rulers. Attach the "donuts" to the initial and terminal points of the vectors to check your answers. C. The magnitude of a vector is always positive. Why do you think this is true? 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. Hand draw on the image or click on it to select EDIT to use the drawing tool. 3. C. Use the Pythagorean Theorem (a? + b? = c²) to find the length of the hypotenuse, c. This is the magnitude of a.
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