Vector Projections Proof in 60 Seconds | Calc 3 & Linear Algebra
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YouTubeMath with Professor V
Vector Projections Proof in 60 Seconds | Calc 3 & Linear Algebra
Vector projections show up everywhere — multivariable calculus, linear algebra, physics… and exam problems 😄 Here’s a quick office hours proof showing why the orthogonal component is actually perpendicular. If you want the full lesson that really breaks down vector projections conceptually, I have a full video lecture on my YouTube ...
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Q) Write the projection of the vector (𝐛 ⃗+𝐜 ⃗ ) on the vector 𝐚 ⃗, 𝐰𝐡𝐞𝐫𝐞 𝒂 ⃗= 𝟐𝐢 ̂−
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Q) Write the projection of the vector (𝐛 ⃗+𝐜 ⃗ ) on the vector 𝐚 ⃗, 𝐰𝐡𝐞𝐫𝐞 𝒂 ⃗= 𝟐𝐢 ̂−
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f vector projections never really made sense, this is the explanation I wish I’d had as a student. Scalar vs vector vs orthogonal projections — explained geometrically, not just as formulas. Full video is up now on my channel 🤍 Xoxo, Professor V #LinearAlgebra #Calculus3 #VectorProjection #CollegeMath #MathWithProfessorV
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