Math: Equations of Line in a Plane
posted by Anonymous .
I'm stuck on these questions. Can you please show me a step by step solution?
20) For each of the following, find a normal vector, a direction vector, and a point of each line.
Note, normal vector means perpendicular to the direction vector.
a) 3x - 6y = 14
normal vector = (1 , -2)
direction vector = (2 , 1)
point on the line = [(14/3) , 0]
21) Find vector, parametric, and symmetric equations of the following lines.
a) -4x + 6y + 9 = 0
Vector Equation -> r = [0 , (-3/2)] + t(3 , 2)
Parametric Equation -> x = 3t and y = 2t - (3/2)
Symmetric Equation -> (x/3) = [y + (3/2)] / 2