The vector signs are above each letter (I just don't know how to show it that way)
A= 145 units @ 190 deg.
B= 75 units @ 288 deg.
C= 210 units @ 85 deg.
D= 105 units @ 355 deg.
How do I use the component Method with these given magnitude and degree???
the components are (just as in polar coordinates):
x = r cosθ
y = r sinθ
You have r and θ, so plug and chug.
Mr. Steve, could you do an example using A. for me. I am still confused as to how you actualy plug in the numbers. I am also confused on sine and cosine and tan.. Please show step by step. That'll help A lot!
To use the component method, you need to break down each vector into its horizontal and vertical components.
First, we need to convert the given magnitude and degree into the horizontal and vertical components. To do this, we can use trigonometry.
For vector A:
- The magnitude is 145 units.
- The degree is 190.
To find the horizontal component (Ax), we use the formula: Ax = magnitude * cos(degree).
Ax = 145 * cos(190°).
To find the vertical component (Ay), we use the formula: Ay = magnitude * sin(degree).
Ay = 145 * sin(190°).
Using the same steps, you can find the horizontal and vertical components for vectors B, C, and D.
For vector B:
- The magnitude is 75 units.
- The degree is 288.
To find the horizontal component (Bx), we use the formula: Bx = magnitude * cos(degree).
Bx = 75 * cos(288°).
To find the vertical component (By), we use the formula: By = magnitude * sin(degree).
By = 75* sin(288°).
For vector C:
- The magnitude is 210 units.
- The degree is 85.
To find the horizontal component (Cx), we use the formula: Cx = magnitude * cos(degree).
Cx = 210 * cos(85°).
To find the vertical component (Cy), we use the formula: Cy = magnitude * sin(degree).
Cy = 210 * sin(85°).
For vector D:
- The magnitude is 105 units.
- The degree is 355.
To find the horizontal component (Dx), we use the formula: Dx = magnitude * cos(degree).
Dx = 105 * cos(355°).
To find the vertical component (Dy), we use the formula: Dy = magnitude * sin(degree).
Dy = 105 * sin(355°).
By finding the horizontal and vertical components for each vector, you can use them to perform vector addition or any other operations required.