1 -5 4. Let u= -3 and v = 2 (a) Find the distance between u and v. (b) Find the length of u. (c) Find a unit vector in the direction of u.

Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.

For the vector v=(2,1), sketch a 2v, b 3v, and c 12v.

VelocitySuppose that in Exercise 55 the current is flowing at 1.2 mi/hr due south. In what direction should the swimmer head in order to arrive at a landing point due east of his starting point? VelocityA river flows due south at 3mi/h. A swimmer attempting to cross the river heads due east swimming at 2mi/h relative to the water. Find the true velocity of the swimmer as a vector.