(a) {(a, b, c) ER³ | 2a = 3c}. (b) {(a, b, c) ER3 | a = 0, b = 3c}. (c) {(a+b, ab, 2a + b) | a, b R} (d) {(a, 2a, a) a € R}. (e) {(a, b, c) R3 |a-b+c=1}.
(a) {(a, b, c) ER³ | 2a = 3c}. (b) {(a, b, c) ER3 | a = 0, b = 3c}. (c) {(a+b, ab, 2a + b) | a, b R} (d) {(a, 2a, a) a € R}. (e) {(a, b, c) R3 |a-b+c=1}.
(a) {(a, b, c) ER³ | 2a = 3c}. (b) {(a, b, c) ER3 | a = 0, b = 3c}. (c) {(a+b, ab, 2a + b) | a, b R} (d) {(a, 2a, a) a € R}. (e) {(a, b, c) R3 |a-b+c=1}.
Which of the following sets is not a vector subspace in the vector space R^3?
Transcribed Image Text:(a) {(a, b, c) ER3 | 2a = 3c}.
(b) {(a, b, c) ER3 | a = 0, b = 3c}.
(c) {(a+b, ab, 2a + b) | a, b R}.
(d) {(a, 2a, a) a € R}.
(e) {(a, b, c) R³ |a-b+c=1}.
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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