finding vectors of magnitude

May 2012
8
0
hi
question:

v = (-4, -2) and need to find alll vectors of magnitude 4 that are perpindicular to v

this is review question for an upcoming exam! please help!

thank you
 

mathman

Forum Staff
May 2007
6,932
774
LordRaaa said:
hi
question:

v = (-4, -2) and need to find alll vectors of magnitude 4 that are perpindicular to v

this is review question for an upcoming exam! please help!

thank you
Let (a,b) be the vector of interest.
You have two equations:

-4a -2b = 0
a^2 + b^2 = 16.

You should get 2 solutions.