Which of the following subsets in the vector space V=R^2 over the field R is additive and not homogeneous?
Transcribed Image Text:(a) {(a, b) EV | a, b € Q}.
(b) {(a, b) EV | ab > 0}.
(c) {(a, a) EV a = 0}.
(d) {(a, b) EV | |a| = |b|}.
(e) {(a, b) EV | ab = 0}.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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