Vector A has y-component Ay= +12.0A makes an angle of 32.0

In summary, Vector A has a y-component of +12.0 and makes an angle of 32.0 degrees counterclockwise from the positive y-axis. To find the x-component of A, you can use trigonometry and draw a diagram. The magnitude of A can also be determined using trigonometry by decomposing the vector into its components. To understand the concept of the positive y-axis, you can locate it and determine which part is positive. Drawing a diagram is always helpful in solving problems involving vectors.
  • #1
oldspice1212
149
2
Vector A has y-component Ay= +12.0 . A makes an angle of 32.0 degrees counterclockwise from the + y-axis.

What is the x - component of A?

What is the magnitude of A?


How can I do this?
 
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  • #2


You draw it, and then use trigonometry. (Always draw the problem!) Because you have learned about decomposition about vectors into components, right? This is more or less the same problem.
 
  • #3


I don't understand the + y - axis
 
  • #4


oldspice1212 said:
I don't understand the + y - axis

That would be the positive y axis, as in, going upwards, should you choose to define upwards as being positive.

Then, like Hypersphere said, you always need to draw a diagram, and take the proper trigonometric steps to figure out the components and magnitude.
 
  • #5


Can you locate the y-axis and then tell what part of it is positive? It should be pretty easy to tell. And from there you can figure out where to draw the vector.
 

1. What is the magnitude of vector A?

The magnitude of a vector is its length or size. In this case, since only the y-component and angle are given, we cannot determine the magnitude without also knowing the x-component. Therefore, the magnitude of vector A cannot be determined with the given information.

2. What is the x-component of vector A?

The x-component of a vector represents the horizontal displacement or movement. In this case, only the y-component and angle are given, so the x-component cannot be determined without additional information.

3. How can vector A be represented graphically?

Vector A can be represented graphically by drawing a line with an arrowhead pointing in the direction of the vector. The length of the line represents the magnitude of the vector, and the angle between the line and the horizontal axis represents the direction of the vector.

4. What is the direction of vector A?

The direction of vector A can be determined by the angle it makes with the horizontal axis. In this case, vector A makes an angle of 32.0 degrees, so its direction is 32.0 degrees above the horizontal axis.

5. How can vector A be resolved into its components?

To resolve vector A into its components, we can use trigonometric functions. Since the y-component and angle are given, we can use the sine function to find the magnitude of the y-component. However, the x-component still cannot be determined without additional information.

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