What is the unit vector perpendicular to the following vectors 2i^ +2j^−k^ and 6i^ −3j^+2k^ ?
i^ +10j^ −18k^517
i^ −10j^ +18k^517
i^ −10j^ −18k^517
i^ +10j^ +18k^517
A→ = 2i^ +2j^−k^ and B→ = 6i^−3j^+2k^
C→ = A→ ×B→ = (2i^ +2j^−k^) ×( 6i^−3j^+2k^)
= i^j^k^22−16−32 = i^−10j^−18k^
Unit vector perpendicular to both A→ and B→
= i^−10j^−18k^12+102+182 = i^−10j^−18k^517