For questions 1-3, let a = (2,2, 1), b = (1,2,2), and c = (2, 1,...

 

 

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For questions 1-3, let a = (2,2, 1), b = (1,2,2), and c = (2, 1, 2). 1. Determine the area of the parallelogram spanned by a and b. 2. Determine the scalar triple product of the vectors a, b, and c. 3. Determine all vectors orthogonal to the vectors b and c. 4. Determine the distance between the point (-2,3) and the line 5x + 2y = 1. 5. Let be a fixed angle with 0 < < /2. Determine the equation of the surface consisting of all lines passing through the origin that make an angle of with the positive z-axis. For questions 1-3, let a = (2,2, 1), b = (1,2,2), and c = (2, 1, 2). 1. Determine the area of the parallelogram spanned by a and b. 2. Determine the scalar triple product of the vectors a, b, and c. 3. Determine all vectors orthogonal to the vectors b and c. 4. Determine the distance between the point (-2,3) and the line 5x + 2y = 1. 5. Let be a fixed angle with 0 < < /2. Determine the equation of the surface consisting of all lines passing through the origin that make an angle of with the positive z-axis.