Math Problem Statement
why is this the case where you add?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Vector Projections
Linear Algebra
Orthogonal Projections
Formulas
Proj_w1(v) = (v ⋅ w1 / w1 ⋅ w1) w1
Proj_w2(v) = (v ⋅ w2 / w2 ⋅ w2) w2
Proj_W(v) = Proj_w1(v) + Proj_w2(v)
Theorems
Orthogonal Projection Theorem
Suitable Grade Level
Undergraduate - Linear Algebra
Related Recommendation
Proving Orthogonality of u − proj_v(u) in R^3
Vector Algebra and Matrix Theory Problems: Projections and Vector Operations
Solve Linear Transformation, Projection, and Matrix Representation Problems with Detailed Explanations
Understanding Orthogonal Sets and Matrices in Linear Algebra
Proof of Linearity in Vector Projections: projv(au+bw) = a(projvu) + b(projvw)