SOLUTION: Given the vector [-5,12], find the following vectors: (a) Same direction, twice as long (b) Same direction, length 1 unit (c) Opposite direction, length 10 (d) Opposite direc

Algebra ->  Vectors -> SOLUTION: Given the vector [-5,12], find the following vectors: (a) Same direction, twice as long (b) Same direction, length 1 unit (c) Opposite direction, length 10 (d) Opposite direc      Log On


   



Question 1196066: Given the vector [-5,12], find the following vectors:
(a) Same direction, twice as long
(b) Same direction, length 1 unit
(c) Opposite direction, length 10
(d) Opposite direction, length c

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Given the vector [-5,12], find the following vectors:
(a) Same direction, twice as long
Multiply each component by 2

(b) Same direction, length 1 unit
Divide each component of original vector by sqrt%28%28-5%29%5E2%2B%2812%29%5E2%29

(c) Opposite direction, length 10
Multiply each component of the answer to (b) by -10.  The negative is
to make it the opposite direction.

(d) Opposite direction, length c
Multiply each component of the answer to (b) by -c.  The negative is
to make it the opposite direction.

Edwin