Proyeksi vektor ortogonal v = (1, 3, 3) pada u = (4, 2, 2) adalah …

Proyeksi vektor ortogonal v pada u = [tex] \frac{v.u}{|u|^{2} } .u[/tex]

[tex] \frac{1.4+3.2+3.2}{ (\sqrt{4^{2}+2^{2}+2^{2} })^{2} } \left[\begin{array}{ccc}4\\2\\2\end{array}\right] = \frac{16}{ (\sqrt{24})^{2} } \left[\begin{array}{ccc}4\\2\\2\end{array}\right] = \frac{16}{24} \left[\begin{array}{ccc}4\\2\\2\end{array}\right] = \frac{2}{3} \left[\begin{array}{ccc}4\\2\\2\end{array}\right] [/tex]