2. A triangle is formed by the points P = (1,0,3), Q =(4,-1,3), and R =...

Transcribed Image Text:

2. A triangle is formed by the points P = (1,0,3), Q =(4,-1,3), and R = (6, 1,-2). (a) Sketch the triangle. (b) Find the vector and scalar equations of the plane containing this triangle. 3. Recall points P, Q, and R from Question 2. Suppose I have a fourth point S = (5,3,2). Using vectors v = PQ and w = PŘ, determine: (a) The area of the parallelogram formed by vectors v an w. (b) The volume of the parallelepiped formed by incorporating the point S. 2. A triangle is formed by the points P = (1,0,3), Q =(4,-1,3), and R = (6, 1,-2). (a) Sketch the triangle. (b) Find the vector and scalar equations of the plane containing this triangle. 3. Recall points P, Q, and R from Question 2. Suppose I have a fourth point S = (5,3,2). Using vectors v = PQ and w = PŘ, determine: (a) The area of the parallelogram formed by vectors v an w. (b) The volume of the parallelepiped formed by incorporating the point S.