If a i 4j k and b i 14j k find a unit vector with pos

Solution

unit vector is perpendicular to both vectors = unit vector parallel to cross product vector a×b=(-10, 0, 10) unit vector = (-10, 0, 10)/(v((-10)² + (10)²)) =(-10, 0, 10)/(10v2) =(-v2/2, 0, v2/2) = (v2/2, 0, -v2/2)