Question

What is the unit vector perpendicular to the plane of vectors A vector and B vector if a vector = I vector + 2 j vector -k vector and b vector = 2i vector + k vector find a unit vector perpendicular to plane of vector a vector and b vector

Answer 1

A=i,As b is at angle 120 degree to a so B=icos120+jsin120 =icos(90+30)+jsin(90+30) =-isin30+jcos30 =-i/2+j√3/2A+B =i/2+j√3/2

Answer 2

refer the attachment for the answer