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
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⟩
1 more worked examplePremium
Find proj_v u where u = ⟨2, 3⟩ and v = ⟨1, 1⟩.
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Practice
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