Question

Find the shortest distance from the point P=(1.6,-5) to a noint on the line given by (x, y, z)=(4 t, 4 t, 4 t). The distance is You have attempted this problem 0 times.

Answer 1

To find the shortest distance from a point to a line, first find the equation of the line and then substitute it into the distance formula.

Step-by-step explanation:

To find the shortest distance from the point P=(1.6,-5) to a point on the line given by (x, y, z)=(4t, 4t, 4t), we can first find the equation of the line passing through both points. The equation is x = 4t, y = 4t, z = 4t. Then, we can substitute these equations into the distance formula d = sqrt((x-1.6)^2 + (y+5)^2 + z^2) and simplify to find the shortest distance.