Create a unit vector that points in the opposite direction as (3, 0, 2)^T.

Answer:

Length of the vector   =    √(9+4)   =    √13
Unit vector in the first direction   =   (3, 0, 2)^T / ( √13)
Unit vector in the opposite direction   =   ( -3, 0, -2)^T / ( √13)

End of this Chapter

You should scale down your plans for a party weekend and study these topics instead:

scaling, of a vector Definition of scaling.
scalar Definition of a scalar.
scaling, properties Some properties of scaling.
equating elements of column matrices Equating corresponding elements in vector algebra.
unit vector Unit Vectors.
normalizing a vector Normalizing a vector.
unit vector, orientation Orientation of a unit vector.

Click on a term to see where it was discussed in this chapter. The next chapter will discuss the dot product of two vectors.