Using Properties of the Dot ProductIn Exercises 13–22, use the vectors u = ⟨3, 3⟩,v = ⟨−4, 2⟩, and w = ⟨3, −1⟩ to find thequantity. State whether the result is a vectoror a scalar.13. u ∙ u 14. 3u ∙ v15. (u ∙ v)v 16. (u ∙ 2v)w17. (v ∙ 0)w 18. (u + v) ∙ 019. ,w, − 1 20. 2 − ,u,21. (u ∙ v) − (u ∙ w) 22. (v ∙ u) − (w ∙ v)

Using Properties of the Dot ProductIn Exercises 13–22, use the vectors u = ⟨3, 3⟩,v = ⟨−4, 2⟩, and w = ⟨3, −1⟩ to find thequantity. State whether the result is a vectoror a scalar.13. u ∙ u 14. 3u ∙ v15. (u ∙ v)v 16. (u ∙ 2v)w17. (v ∙ 0)w 18. (u + v) ∙ 019. ,w, − 1 20. 2 − ,u,21. (u ∙ v) − (u ∙ w) 22. (v ∙ u) − (w ∙ v)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.5: Applications Of Inner Product Spaces

Problem 39E

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