Answer:
Step-by-step explanation:
Gandalf's Starting Point is given as: P(2,-1)
If he walks in the direction of the vector v=4i+1j
x=4, y=1
The slope of the line which he walked therefore is:
First, we determine the equation of the line at P with coordinates (2,-1)
If he changes direction at a right angle, the new path walked is perpendicular to the old path.
DEFINITION: Two lines are perpendicular if the product of their gradients
Therefore the gradient of the new path walked
At point Q with coordinates (3,3), the equation of the line is:
The coordinate where Gandalf the Grey makes a turn is the intersection of the two lines.
Therefore, the coordinates where he makes a turn is: