bantuan +caranya..... jawaban saya 1/2√14 tapi gak ada pilihannya di optionnya . mohon bantuannya terimakasihhh

[tex]2u + 3v = 2 \left[\begin{array}{ccc}1\\-2\\3\end{array}\right] + 3\left[\begin{array}{ccc}2\\3\\-1\end{array}\right] = \left[\begin{array}{ccc}2+6\\-4+9\\6-3\end{array}\right] = \left[\begin{array}{ccc}8\\5\\3\end{array}\right][/tex]

Proyeksi skalar (2u+3v) pada v = [tex] \frac{(2u+3v).v}{|v|} [/tex]

[tex]= \frac{2.8+3.5+(-1).3}{ \sqrt{2^{2}+3^{2}+(-1)^{2} } } = \frac{16+15-13}{ \sqrt{4+9+1} } = \frac{28}{ \sqrt{14} } = \frac{28}{ \sqrt{14} } . \frac{ \sqrt{14} }{ \sqrt{14} } = \frac{28 \sqrt{14} }{14} = 2 \sqrt{14} [/tex]