Exam 6¶
Each question will be graded out of 4 points, with partial credit given for incomplete or incorrect answers. To pass the exam, you will need at least 10 points total, which is an average of 2.5 for each question.
Next to each part of the rubrics, you will see error codes in square brackets. These error codes are will be used to indicate why any points were taken off on your exam papers.
Below are the rubrics for exam 6.
Question 1¶
Compute the normal vector to the line.
- (4 pts) Compute using formula
(-1 pt) Minor arithmetic error [MinE]
(-1 pt) Answer is incorrect or missing [IA]
(-2 pts) Major mathematical error [MajE]
(-3 pts) Work is missing [MW]
Question 2¶
When are the vectors orthogonal?
- (4 pts) Set dot products equal to zero and solve
(-1-2 pt) Minor arithmetic error (up to two times) [MinE]
(-1 pt) Answer is incorrect or missing [IA]
(-2 pts) Major mathematical error [MajE]
(-3 pts) Work is missing [MW]
Question 3¶
True or False?
- (1 pt) Correct answer
(-1 pt) Answer is either incorrect or missing [IA]
- (3 pts) Explain answer
- Answer TRUE
- Provided reasoning (3 points possible)
(-1 pt) Reasoning is sound but not a proof [RS]
(-2 pts) Some of the reasoning is sound [PS]
(-3 pts) Reasoning is not sound [NS]
- Provided an example (2 points possible)
(-0 pts) Example supports an answer of TRUE [EX]
(-1 pt) Example supports an answer of FALSE (is a counterexample) [CX]
(-2 pts) Example is incorrect or not relevant [NX]
- Answer FALSE
- Provided reasoning (3 points possible)
(-1 pt) Reasoning is sound but not a proof of the negative [RS]
(-2 pts) Some of the reasoning is sound [PS]
(-3 pts) Reasoning is not sound [NS]
- Provided an example (3 points possible)
(-0 pts) Counterexample [CX]
(-2 pts) Example supports an answer of TRUE [EX]
(-3 pts) Example is incorrect or not relevant [NX]
Question 4¶
Find orthonormal basis.
- (3 pts) Make orthogonal by subtracting projection
(-1 pt) Minor arithmetic error [MinE]
(-2 pts) Major mathematical error [MajE]
(-3 pts) Work is missing or not sound [MW]
- (1 pt) Make normal by dividing by lengths
(-1 pt) Did not divide by lengths [UV]