What surface is represented by r . a = k, where r = xi +yj + zk is the position vector in which x, y, and z are coordinates which lie on the surface, a = axi + ayj + azk is a vector which is constant in both magnitude and direction, and k is a scalar constant. Describe the surface for the special case in which all components of vector a are equal.
Hardcopy entries should be submitted in class by noon on Monday of next week. Answers should be concise but complete.