How to Calculate the New Position of a Pivoted Vector?

In summary, the conversation discusses using vectors in calculations, specifically in an xy coordinate system. The focus is on determining the formulas for calculating the new position of Vector 2 after pivoting by angle A. The formulas for vx and vy are mentioned as well as using vx to determine theta and then substituting in angle+theta to compute the new coordinates.
  • #1
uktonybe
2
0
Its been a while since I've done any type of calculus.
So here we go. Vectors is this scenario represent cords, which will translate in a vector in future calulations
For the purposes of this calculation, Vectors only use (x, y).
Vector 1 originates from pivot (0,0) and is of constant length X.
Vector 2 is the result of Vector 1 pivoting by angle A and what I need is the formulas for calculating the new position of Vector 2 using the constant length X.

Many thanks.
 
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  • #2
What you're asking isn't calculus rather its more vector algebra. Anyway...

Okay so you have an xy coordinate system so for vector v

vx = |v| cos theta And vy = |v| sin theta

Can't you simply use vx to determine theta and then sub in angle+theta to compute the new cords?
 

FAQ: How to Calculate the New Position of a Pivoted Vector?

What is vector calculation?

Vector calculation is a mathematical process used to determine the magnitude and direction of a vector. It involves using various mathematical operations, such as addition, subtraction, multiplication, and division, to manipulate and analyze vectors in a given coordinate system.

What is an angle in vector calculation?

In vector calculation, an angle refers to the direction or orientation of a vector in relation to a reference axis. It is usually measured in degrees or radians and can be positive or negative depending on the direction of the vector.

How do you calculate the magnitude of a vector using angles?

The magnitude of a vector can be calculated using the Pythagorean theorem, where the length of the vector is equal to the square root of the sum of the squares of its components. In vector calculation using angles, this can be represented as |V| = √(Vx² + Vy²), where Vx and Vy are the horizontal and vertical components of the vector, respectively.

What is the significance of angles in vector addition?

In vector addition, angles play a crucial role in determining the resulting direction and magnitude of the combined vectors. The angle between two vectors determines the direction of the resultant vector, and the magnitude of the resultant vector is determined by the angle between the two vectors and their respective magnitudes.

How do you use trigonometric functions in vector calculation using angles?

Trigonometric functions, such as sine, cosine, and tangent, are used to calculate the horizontal and vertical components of a vector using its magnitude and direction. These functions can also be used to determine the angle between two vectors and to resolve a vector into its horizontal and vertical components.

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