Question

A San Jose Shark pursues an Anaheim Duck along the line given by equation: r =(2,−2)+t(6,8). Find two points on the line exactly 20 units apart.

Answer 1

To find two points on the line exactly 20 units apart, use the equation of the line and the distance formula.

Step-by-step explanation:

To find two points on the line exactly 20 units apart, we can set up an equation based on the distance formula. Let's say the two points on the line are (x1, y1) and (x2, y2). The distance between these two points is given by:

√((x2-x1)2 + (y2-y1)2) = 20

Using the equation of the line r = (2,-2)+t(6,8), we can substitute the components of the points into the distance formula equation and solve for t.

Once we solve for t, we can substitute it back into the equation of the line to find the coordinates of the two points.