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Multivariable CalculusEasyVectors in Space

Vectors in Space · Easy problem

Let u=(4,2,1)\mathbf u = (4, 2, 1) and v=(0,3,4)\mathbf v = (0, 3, 4). Find the zz-component of the vector projection proj⁡vu=u⋅vv⋅v v\operatorname{proj}_{\mathbf v}\mathbf u = \dfrac{\mathbf u \cdot \mathbf v}{\mathbf v \cdot \mathbf v}\,\mathbf v.