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Problem 2: Assume that M and N are non-zero vectors. Using properties of vectors, explain why M · (M × N) = 0. (Note: there are multiple ways to answer this question. Also, you should NOT be using component form here).

Problem 2: Assume that M and N are non-zero vectors. Using properties of vectors, explain why M · (M × N) = 0. (Note: there are multiple ways to answer this question. Also, you should NOT be using component form here).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem 2: Assume that M and N are non-zero vectors. Using properties of vectors, explain why M · (M × N) = 0. (Note: there are multiple ways to answer this question. Also, you should NOT be using component form here).
Transcribed Image Text:Problem 2: Assume that M and N are non-zero vectors. Using properties of vectors, explain why M · (M × N) = 0. (Note: there are multiple ways to answer this question. Also, you should NOT be using component form here).
Expert Solution
Step 1

The dot product of two vectors M⇀ and N⇀ is defined as the following 

M⇀.N⇀=M⇀.N⇀cosθ,

where θ is the angle between two vectors.

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