Answered: Find the area of the parallelogram that…

Find the area of the parallelogram that has the given vectors u = i + j + k, v = j + k as adjacent sides. Use a computer algebra system or a graphing utility to verify your result.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 73CR

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Question

Find the area of the parallelogram that has the given vectors u = i + j + k, v = j + k as adjacent sides. Use a computer algebra system or a graphing utility to verify your result.

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.

Expert Solution

Step 1

Given: Vectors are $\vec{u} = \hat{i} + \hat{j} + \hat{k}$ and $\vec{v} = \hat{j} + \hat{k}$ .

To Find: Area of the parallelogram and use a graphing utility or computer algebra to verify it also.

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