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Find a vector that is orthogonal to each of the three vectors below: 1 1 4 V1 = " V2 = 1 and V3 = 3 3

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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Question

I am confused on how to solve this using matrices. I did the problem but am not sure if I did it right because it doesnt seem right. I found two vectors but I dont know what to do after that. Please help me with the step by step explanation. Thank you.

Find a vector that is orthogonal to each of the three vectors below:
1
1
4
V1
-
V2
=
0
2
and
V3 =
=
1
14
3
3

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.

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Step 1: To identify the given vectors

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Step 2: To find the orthogonal vector

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Step 3: Solving the equations

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