Vector angle in a standard x-y coordinate system?

In summary, the possible angle for a vector with equal x and y components in a standard x-y coordinate system is 45°. This is because at this angle, the x and y components are equal in magnitude, satisfying the given condition. The other angles listed do not have this property.
  • #1
robvba
27
0
A certain vector has x and y components that are equal in magnitude. Which of the following is a possible angle for this vector in a standard x-y coordinate system?

30°
180°
90°
60°
45°

Is this problem too simple or am i missing something? if the x and y components are equal in magnitude, than their vector will be the hypotenus...in this case being any of the above?

Thank you
 
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  • #2
No, not any of the above. For most angles listed, the x and y components are unequal in magnitude.
 
  • #3
It's asking about the angle.
 
  • #4
so if one lies on the x plane and the other on the y plane the angle could be 45?
 
  • #5
robvba said:
so if one lies on the x plane and the other on the y plane the angle could be 45?

If they are equal, then either of the minor angles will be equal, which means ...
 
  • #6
cos()=sin()...()=45
 
  • #7
Yes, 45°.

By the way, what is this "x plane" and "y plane"? Everything is in the xy plane.
 
  • #8
Originaly i pictured two vectors of equal magnitued at different points on the xy plane.
thank you all
 

1. What is a vector angle in a standard x-y coordinate system?

A vector angle in a standard x-y coordinate system is the measurement of the direction and magnitude of a vector in relation to the positive x-axis. It is typically measured in degrees or radians.

2. How is a vector angle represented in a standard x-y coordinate system?

A vector angle in a standard x-y coordinate system is typically represented by an arrow pointing in the direction of the vector, with the length of the arrow representing the magnitude of the vector.

3. How is the direction of a vector angle determined in a standard x-y coordinate system?

The direction of a vector angle in a standard x-y coordinate system is determined by the angle it makes with the positive x-axis, measured counterclockwise.

4. What is the difference between a positive and negative vector angle in a standard x-y coordinate system?

A positive vector angle in a standard x-y coordinate system is measured counterclockwise from the positive x-axis, while a negative vector angle is measured clockwise. This convention is also known as the right-hand rule.

5. How is the magnitude of a vector angle calculated in a standard x-y coordinate system?

The magnitude of a vector angle in a standard x-y coordinate system can be calculated using trigonometric functions, specifically the Pythagorean theorem and inverse trigonometric functions. Alternatively, it can also be calculated using vector addition and subtraction.

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