Homework Soursefind two unit vectors orthogonal to both and Solutionv1xv2
find two unit vectors orthogonal to both <3,2,1> and <-1,1,0>
Solution
v1xv2 = (0-1)i + (-1-0)j + (3+2)k = <-1,-1,5>
magnitude of cross product = (1+1+25) = 27 = 33
unit vector 1 = <-1/33,-1/33,5/33> or <(-3)/9,(-3)/9,(53)/9>
unit vector 2 = -unit vector 1 = <1/33,1/33,-5/33> or <(3)/9,(3)/9,(-53)/9>
