What is the unit vector of A = 8i + 2j + 2k?

What is the unit vector of A = 8i + 2j + 2k?

Explanation

To find the unit vector of A = 8i + 2j + 2k, follow these steps:


1. Find the magnitude of vector A:


   √(8² + 2² + 2²) = √(64 + 4 + 4) = √72


2. Divide each component by the magnitude:


   Unit vector â = (1/√72) × (8i + 2j + 2k)