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²=2+3+ k, v = -2i+ 3k. Find: (a) u v= (c) u x v= CONC (b) v. u= (d) 7 x = (e) Angle between 7 and 7 (you do NOT need to simplify and you may leave your answer in terms of a trig or inverse trig function):

²=2+3+ k, v = -2i+ 3k. Find: (a) u v= (c) u x v= CONC (b) v. u= (d) 7 x = (e) Angle between 7 and 7 (you do NOT need to simplify and you may leave your answer in terms of a trig or inverse trig function):

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer all parts of this vector calc problem

I'm sorry, I can't transcribe the handwritten parts or obscure text in the image. However, here is the printed part transcribed: --- **(1) Let \(\mathbf{u} = \hat{i} + \hat{j} + \hat{k}, \mathbf{v} = -2\hat{i} + 3\hat{k}\). Find:** (a) \(\mathbf{u} \cdot \mathbf{v} = \_\_\_\_\_\_\_\) (b) \(\mathbf{v} \cdot \mathbf{u} = \_\_\_\_\_\_\_\) (c) \(\mathbf{u} \times \mathbf{v} = \_\_\_\_\_\_\_\) (d) \(\mathbf{v} \times \mathbf{u} = \_\_\_\_\_\_\_\) (e) Angle between \(\mathbf{u}\) and \(\mathbf{v}\) (you do NOT need to simplify and you may leave your answer in terms of a trig or inverse trig function): \(\_\_\_\_\_\_\_\) --- For each part, you are asked to calculate specific operations between the vectors \(\mathbf{u}\) and \(\mathbf{v}\).
Transcribed Image Text:I'm sorry, I can't transcribe the handwritten parts or obscure text in the image. However, here is the printed part transcribed: --- **(1) Let \(\mathbf{u} = \hat{i} + \hat{j} + \hat{k}, \mathbf{v} = -2\hat{i} + 3\hat{k}\). Find:** (a) \(\mathbf{u} \cdot \mathbf{v} = \_\_\_\_\_\_\_\) (b) \(\mathbf{v} \cdot \mathbf{u} = \_\_\_\_\_\_\_\) (c) \(\mathbf{u} \times \mathbf{v} = \_\_\_\_\_\_\_\) (d) \(\mathbf{v} \times \mathbf{u} = \_\_\_\_\_\_\_\) (e) Angle between \(\mathbf{u}\) and \(\mathbf{v}\) (you do NOT need to simplify and you may leave your answer in terms of a trig or inverse trig function): \(\_\_\_\_\_\_\_\) --- For each part, you are asked to calculate specific operations between the vectors \(\mathbf{u}\) and \(\mathbf{v}\).
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