ABSTRACT

At the end of this chapter, you should be able to:

• define a unit triad • determine the scalar (or dot) product of two vectors • calculate the angle between two vectors • determine the direction cosines of a vector • apply scalar products to practical situations • determine the vector (or cross) product of two vectors • apply vector products to practical situations • determine the vector equation of a line

When a vector x of magnitude x units and direction θ◦ is divided by the magnitude of the vector, the result is a vector of unit length at angle θ◦. The unit vector for a velocity of 10m/s at 50◦ is 10m/sat 50

10m/s , i.e. 1 at 50◦.