Question

sole this one if you canfind the equation of the line through (2,-3,5) and parallel to 5i-j+2k

Answer 1

\[x=x _{0}+at \]
\[y=y _{0}+at\]
\[z=z _{0}+at\]
\[r _{0}=2i-3j+5k\]
\[v=5i-j+2k\]
\[r=(2i-3j+5k)+t(5i-j+2k)\]
\[r=(2+5t)i+(-3-t)j+(5+2t)k\]

Answer 2

Parametic equations are:
\[x=2+5t\]
\[y=-3-t\]
\[z=5+2t\]

Answer 3

\[\frac{x-2}{5}=\frac{y+3}{-1}=\frac{z-5}{2}\]