How to Calculate the New Position of a Pivoted Vector?

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SUMMARY

The discussion focuses on calculating the new position of a pivoted vector in a two-dimensional coordinate system. The original vector, Vector 1, originates from the pivot point (0,0) and has a constant length X. The new position of Vector 2, after pivoting by angle A, can be determined using vector algebra formulas: vx = |v| cos(theta) and vy = |v| sin(theta). The approach involves substituting the angle into these formulas to compute the new coordinates of Vector 2.

PREREQUISITES
  • Understanding of basic vector algebra
  • Familiarity with trigonometric functions (sine and cosine)
  • Knowledge of coordinate systems (specifically 2D Cartesian coordinates)
  • Basic calculus concepts (though not directly required for this discussion)
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  • Study the application of trigonometric functions in vector calculations
  • Learn about vector transformations and rotations in 2D space
  • Explore the use of pivot points in geometric transformations
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uktonybe
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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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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?
 

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