The normal of the vector: (2,-2,4) is equal to 2√6 ?

To find the normal (or the unit normal) of a vector, you need to normalize the vector, which means dividing each component of the vector by its magnitude. The magnitude of a vector (a, b, c) is given by the formula: Magnitude = √(a² + b² + c²) In your case, the vector is (2, -2, 4), so: a = 2 b = -2 c = 4 Magnitude = √(2² + (-2)² + 4²) = √(4 + 4 + 16) = √24 = 2√6 Now, to find the unit normal, you divide each component of the vector by its magnitude: Unit Normal = (2/2√6, -2/2√6, 4/2√6) = (1/√6, -1/√6, 2/√6) So, the unit normal of the vector (2, -2, 4) is indeed (1/√6, -1/√6, 2/√6), and not just 2√6.