Find the area of a triangle formed by placing the vectors [3, 6] and [7, 1] tail-to-tail.

(Continuation) Describe your triangle using a different pair of vectors.

(Continuation) Find the length of the longest altitude of your triangle.

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.