Resolved: Mathematics Course Exam: Question 9 - Explanation of correct answer

The question looks at two vectors in the format a = [ x  y ] and b = [ -x  -y ]. We are asked to identify the correct statement. Now, upon reviewing the answers, according to the explanation of correct answer, we are told that statement a) is correct that b is a reflection of a, with respect to the graph y = -x.

Imho, I believe this not to be correct, as the reflection of a with respect to the graph y = -x is [ -y  -x ], not [ -x  -y ]. I believe in order for the statement to be correct, it should read: "Geometrically represented, b is a reflection of a, with respect to the origin (0,0)", or, "Geometrically represented, b is a 180° rotation of a, with respect to the origin (0,0)". Another option, is to change the question so that b is in the format [ -y  -x ].

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