MathCastle
Multivariable CalculusEasyVectors in Space

Vectors in Space · Easy problem

Find the scalar component of u=(5,1,2)\mathbf u = (5, 1, 2) in the direction of v=(1,2,2)\mathbf v = (1, 2, 2), i.e. comp⁡vu=u⋅v∥v∥\operatorname{comp}_{\mathbf v}\mathbf u = \dfrac{\mathbf u \cdot \mathbf v}{\lVert \mathbf v \rVert}.