Proyeksi vektor a pada b jika di ketahui a=(231) dan b=(4 -1 -2)

Misal:
p adalah vektor a pada b

Diketahui:
a = (2, 3, 1)
b = (4, -1, -2)

Jawab:
[tex]p = \frac{a.b}{|b|^{2} }.b \\ p = \frac{2.3 + 3.-1 + 1.-2}{ (\sqrt{4^{2} - 1^{2} - 2^{2}})^{2} } . \left[\begin{array}{ccc}4\\-1\\-2\end{array}\right] \\ p= \frac{6-3-2}{ \sqrt{16+1+4} } . \left[\begin{array}{ccc}4\\-1\\-2\end{array}\right] \\ p= \frac{1}{ \sqrt{21} } . \left[\begin{array}{ccc}4\\-1\\-2\end{array}\right] [/tex]