c) The vector from the origin to the point A is given as (6, -2, -4), and the unit vector directed from the origin toward point B is (2, -2, 1)/3. If points A and B are 10 units apart, calculate the coordinates of point B.

Find the magnitude of the vector AB with initial point A(4,-2) and terminal point B(1, -5). Give answer in simplest radical form.

A pilot sets his airspeed to 500 km/h on a heading of North 65 degrees East . A strong wind is blowing 55 km/h in the direction of South 40 degrees East . Draw a position diagram to illustrate the word problem. Draw a vector diagram using the vectors in the problem to illustrate a vector representing the ground speed relative to earth.

Consider the vectors a= 2i +4j-6k, b¯ =-31* + k* and c = 3j- 2k. Find a unit vector parallel to - 2a+3b- 4c but pointing in the opposite direction.