Dot Product Rules Multiple choice

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SUMMARY

The discussion centers on the rules of dot product multiplication in vector mathematics. The participant identified two solutions as valid and two as invalid but struggled to justify their reasoning. The correct answers were not as initially perceived, leading to confusion regarding the nature of the dot product, which is a scalar quantity derived from two vectors. The participant seeks clarification on the validity of their choices and the underlying principles governing the dot product.

PREREQUISITES
  • Understanding of vector mathematics
  • Familiarity with scalar and vector quantities
  • Knowledge of dot product rules
  • Basic problem-solving skills in physics or mathematics
NEXT STEPS
  • Review the properties of dot products in vector algebra
  • Study examples of valid and invalid dot product scenarios
  • Learn about vector quantities and their representations
  • Practice solving multiple-choice questions on vector operations
USEFUL FOR

Students studying physics or mathematics, educators teaching vector operations, and anyone preparing for exams involving vector calculations.

Lothar
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Homework Statement


See the image
http://tinypic.com/r/33z6vz5/7

Homework Equations


The rules of dot product multiplication.


The Attempt at a Solution


I've determined that 2 of the solutions are valid, while two of the choices are invalid. I thought C and D looked correct, making A and B incorrect. Unfortunately it wasn't so. I'm down to my last submission and I really don't know what I'm doing wrong.

Thanks you
 
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Why do you think the answers are valid or invalid? You need reasons better than an answer "looked correct."

Hint: What type of quantity, vector or scalar, is the dot product of two vectors?
 

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