A unit vector perpendicular to A→=2i^+3j^+k^  and B→=i^−j^+k^  both is:

Let R→  is the vector perpendicular to A→  and B→  both suchThat R→=A→×B→R^=R→R=A→×B→|A→×B→|A→×B→=i ⏜      j ⏜     k ⏜  2       3      1 1     -1    1 =i^(3+1)−j^(2−1)+k^(−2−3)=4i^−j^−5k^And |A→×B→|=(4)2+(−1)2+(−5)2=42Thus, R^=4i^−j^−5k^42