1. The problem statement, all variables and given/known data Sorry, this should say "Calculus III problem". Describe the region that contains all planes passing through (4, 5, 6) that are parallel to <1, 2, 3>. 2. Relevant equations 3. The attempt at a solution I cannot imagine how to answer this. I expect that there are multiple planes that could pass through a single point and be parallel to a vector, since the vector can move around in space. But what would that look like? Would the planes form a sphere as you move the vector around the point in a circle? Very confused by this question.