Question

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (1, 0, 2) and perpendicular to the plane x 4y z

Answer 1

The answer is "
`x=1+t\\y=0+4t\\z=2+1`"

Explanation:

A(1,0,2) perpendicular to x+4y+z=2 plane

The vector of direction is v[1,4,1].

The
`eq^n`and parametric
`eq^n` formulas also for line

`r(t)=A+tv\\ \\r(t)= (1,0,2)+t(1,4,1)`

`x=1+t\\y=0+4t\\z=2+1`