SOLUTION: If vector a is 3i minus 2j plus k, find the unit vector c

Algebra ->  Vectors -> SOLUTION: If vector a is 3i minus 2j plus k, find the unit vector c       Log On


   



Question 1149370: If vector a is 3i minus 2j plus k, find the unit vector c
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


There is nothing in the problem that tells the relationship between vector a and vector c....


Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

The unit vector "c", directed as vector "a" ( = parallel to vector "a") is


    c = as a vector = %283i+-+2j+%2B+k%29%2Fsqrt%283%5E2%2B2%5E2%2B1%5E2%29 = %283i-2j%2Bk%29%2Fsqrt%2814%29.


Its components are :  i-component = 3%2Fsqrt%2814%29;

                      j-component = -2%2Fsqrt%2814%29;

                      k-component = 1%2Fsqrt%2814%29.