.Use the definition of scalar product, atwo vectors given by a = 5.0 + 5.0b = ab cos 0, and the fact that a b = axbx + aby + a2b₂ to calculate the angle between the+ 5.0k and b = 7.01 +3.0 + 3.0k.

Name: .Use the definition of scalar product, atwo vectors given by a = 5.0
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Description: .Use the definition of scalar product, atwo vectors given by a = 5.0 + 5.0b = ab cos 0, and the fact that a b = axbx + aby + a2b₂ to calculate the angle between the+ 5.0k and b = 7.01 +3.0 + 3.0k.

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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.
Use the definition of scalar product, a
two vectors given by a = 5.0 + 5.0
b = ab cos 0, and the fact that a b = axbx + aby + a2b₂ to calculate the angle between the
+ 5.0k and b = 7.01 +3.0 + 3.0k.

Expert Solution

Step 1

Calculate the dot product of both vectors.

$\begin{array}{l} \vec{a} \cdot \vec{b} = (5.0 \hat{i} + 5.0 \hat{j} + 5.0 \hat{k}) \cdot (7.0 \hat{i} + 3.0 \hat{j} + 3.0 \hat{k}) \\ \vec{a} \cdot \vec{b} = 35 + 15 + 15 \\ \vec{a} \cdot \vec{b} = 65 \end{array}$

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