Parametric, Polar & Vectors · Vector Operations
Vector Projection
The projection of u onto v gives the component of u in the direction of v.
- 4 variables
- 2 worked examples
- 12 in Parametric, Polar & Vectors
Variables
| Symbol | Name | Unit |
|---|---|---|
| u1 | u x-component | - |
| u2 | u y-component | - |
| v1 | v x-component | - |
| v2 | v y-component | - |
Worked examples
- u · v = 3. |v|² = 1.
- proj = (3/1)⟨1, 0⟩ = ⟨3, 0⟩
Answer: ⟨3, 0⟩
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Common questions
What is the Vector Projection?
The projection of u onto v gives the component of u in the direction of v. It is one of the parametric, polar & vectors formulas in the CalcRef reference.
What do the symbols in the Vector Projection mean?
In the Vector Projection, u1 is the u x-component; u2 is the u y-component; v1 is the v x-component; v2 is the v y-component.
How do you use the Vector Projection?
Worked example. Find proj_v u where u = ⟨3, 4⟩ and v = ⟨1, 0⟩. u · v = 3. |v|² = 1. proj = (3/1)⟨1, 0⟩ = ⟨3, 0⟩. Answer: ⟨3, 0⟩.
Practice
Quiz yourself on Parametric, Polar & Vectors
Vector Projection is one of 12 Parametric, Polar & Vectors formulas in CalcRef, out of 136 in the library. Today's free round is 10 mixed multiple-choice questions drawn from the same dataset as this page, refreshed every day and replayable as often as you like - no account needed.