Comment on Explain yourselves, comp sci.

<- View Parent
solarbabies@lemmy.world ⁨7⁩ ⁨months⁩ ago

Yes, and as linear algebra teaches, to convert a vector from direction and magnitude to a list of numbers (components), follow these steps:

  1. Let the magnitude of the vector be represented by the symbol |A| or A.
  2. Let the direction of the vector be represented by the angle θ, which is measured counterclockwise from the positive x-axis.
  3. The x-component of the vector is given by: Ax = |A| cos(θ)
  4. The y-component of the vector is given by: Ay = |A| sin(θ)

The vector can now be represented as a list of numbers: A = (Ax, Ay)

For example, if a vector has a magnitude of 5 units and a direction of 30° counterclockwise from the positive x-axis, its components would be:

Ax = 5 cos(30°) ≈ 4.33 units Ay = 5 sin(30°) ≈ 2.50 units

The vector can now be written as A = (4.33, 2.50)

source

source
Sort:hotnewtop