Let u=(1,2,3)u = (1, 2, 3)u=(1,2,3) and v=(4,5,6)v = (4, 5, 6)v=(4,5,6) in R3\mathbb{R}^3R3. What is the projection of uuu onto vvv, denoted by projvu\text{proj}_v uprojvu?
(3277,4077,4877)(\frac{32}{77}, \frac{40}{77}, \frac{48}{77})(7732,7740,7748)
(3225,4025,4825)(\frac{32}{25}, \frac{40}{25}, \frac{48}{25})(2532,2540,2548)
u⋅v∥v∥2v\frac{u \cdot v}{\|v\|^2} v∥v∥2u⋅vv
u⋅v∥u∥v\frac{u \cdot v}{\|u\|} v∥u∥u⋅vv