If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from a point P to the line L is equal to the length of the component of the vector AP that is orthogonal to the vector AB. P L A B Use the method above to find the distance from the point P(-3,1,8) to the line through A(1,1,0) and B(-2,3, –4). NOTE: Enter the eract answer. Distance =

2. Find the equation of the plane that is parallel to the vectors and contains the points (-2, 3, -1) and (2, 0, 1).

For the vector r= (3,- 1), what is - 4r? The vector -4r = ( ).

Which equations below represent the line in R³ that passes through the point (-3,5,-5) and is parallel to the vector 3i + 4j + 6k? You may select more than one equation. Or(t): +t OF(t) = + t Ox=3+3t; y = 5 + 4t; z = = 5 + 6t - OF(t): = -3, 5, -5> +t OF(t) = +t 1 - x=3+ 6t; y = 5 + 8t; z = 5+ 6t OF(t)= +t OF(t)= + t -