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.