A set in R² is displayed to the right. Assume the set includes the bounding lines. Give a specific reason why the set H is not a subspace of R². (For instance, find two vectors in H whose sum is not in H, or find vector in H with a scalar multiple that is not in H. Draw a picture.) (…..) Let u and v be vectors and let k be a scalar. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. O B. O C. O D. The set is not a subspace because it does not include the zero vector. The set is not a subspace because it is not closed under either scalar multiplication or sums. For example, The set is not a subspace because it is closed under scalar multiplication, but not under sums. For example, the sum of (2,2) and (-1,-3) is not in the set. The set is not a subspace because it is closed under sums, but not under scalar multiplication. For example, multiplied by (0,1) is not in the set. multiplied by (0,1) is not in the set, and the sum of (2,2) and (-1,-3) is not in the set. Q u+v ku u+v Q ku

A set in R² is displayed to the right. Assume the set includes the bounding lines. Give a specific reason why the set H is not a subspace of R². (For instance, find two vectors in H whose sum is not in H, or find vector in H with a scalar multiple that is not in H. Draw a picture.) (…..) Let u and v be vectors and let k be a scalar. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. O B. O C. O D. The set is not a subspace because it does not include the zero vector. The set is not a subspace because it is not closed under either scalar multiplication or sums. For example, The set is not a subspace because it is closed under scalar multiplication, but not under sums. For example, the sum of (2,2) and (-1,-3) is not in the set. The set is not a subspace because it is closed under sums, but not under scalar multiplication. For example, multiplied by (0,1) is not in the set. multiplied by (0,1) is not in the set, and the sum of (2,2) and (-1,-3) is not in the set. Q u+v ku u+v Q ku

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 48E

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