Question
Find a normal vector for a line which is parallel to 5x-6y-15=0
plz explain in steps
plz explain in steps
Answers
MathMate
Find two distinct points on the line
L : 5x-6y-15=0
and find the vector joining the two points.
The two points can be arbitrary, as long as they are distinct. For example, put x=3 and solve for y to get:
5(3)-6y-15 = 0 => y=0
So (3,0) is a point on the line.
put x=6, and solve for y:
5(6)-6y-15=0 => y=2.5
So (6,2.5) is another point on the line.
Can you find the vector between
(3,0) and (6,2.5) ?
L : 5x-6y-15=0
and find the vector joining the two points.
The two points can be arbitrary, as long as they are distinct. For example, put x=3 and solve for y to get:
5(3)-6y-15 = 0 => y=0
So (3,0) is a point on the line.
put x=6, and solve for y:
5(6)-6y-15=0 => y=2.5
So (6,2.5) is another point on the line.
Can you find the vector between
(3,0) and (6,2.5) ?