Asked by tt
The components of a vector are the parts of the vectors that are
to each other.
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The components of a vector are the parts of the vector that are perpendicular (orthogonal) to each other.
Explanation: in a Cartesian coordinate system a vector v is decomposed into orthogonal components v_x and v_y (and v_z in 3D), e.g. v_x = v cosθ, v_y = v sinθ, with v = v_x i + v_y j. (If you choose a non‑orthogonal basis, the components need not be perpendicular.)
Explanation: in a Cartesian coordinate system a vector v is decomposed into orthogonal components v_x and v_y (and v_z in 3D), e.g. v_x = v cosθ, v_y = v sinθ, with v = v_x i + v_y j. (If you choose a non‑orthogonal basis, the components need not be perpendicular.)
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