In `vec F=q(vecvxxvecB)`, which pair of vectors are always at right angles to each other?

The force vecF experienced by a particle of charge q moving with velocity vecv in a magnetic field vecB is given by vecF=q(vecv xx vecB) , which pair of vectors are always at right angle to each other?

Can two right angles be complement to each other?

Can two right angles form a linear pair?

Show that each angle of a rectangle is a right angle.

If sum and difference of two vectors overset rarr R and overset rarr S are at right angle equal to each other, then show that the vectors are equal in magnitude.

If vec a , vec b and vec c are three proper vectors such that vec a * vec b=vec c , vec b*vec c=vec a . Prove that vec a , vec b , vec c are mutually at right angles and |quad vec b|=1 ,|quad vec c|=|quad vec a|.