Ryan Brown rhb7253  
Assignment 1 Problem 1.3.2  
URL:www.angelfire.com/ne/randb/problem1.3.2.html    


1.3.2 Let , . Calculate and .

(Remember that means the same thing as (2,1,-3).)

 

First, we will put the two vectors into component form so we can complete the calculations.

Now, to find the lengths we simply use the formula given:

For a vector in , the length is defined by:

 To, to find the lengths, we simply square the absolute value of each component, add the squared components together, and finally, take the square root of the resulting number.

To find we must first subtract the vectors, component wise, and then find the length of the resultant as above.