How do I solve the dot and cross product of 3i and jxk?

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SUMMARY

The discussion focuses on calculating the dot and cross product of the vectors 3i and jxk. The cross product j x k results in the vector i, as it is perpendicular to both j and k according to the right-hand rule. Subsequently, the dot product of 3i and i yields a value of 3. This solution effectively demonstrates the application of vector operations in three-dimensional space.

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  • Knowledge of matrix determinants for vector calculations
  • Basic principles of dot products in vector algebra
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Homework Statement



The value of 3i(dot)(jxk)

Homework Equations





The Attempt at a Solution


I know the answer is 3, but could someone please explain how to work this problem?
 
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Start by evaluating the cross product. You can go through the matrix and determinants to solve for it, but j x k can be evaluated by just thinking about it -- what vector is perpendicular to both j and k, and follows the right-hand rule?

Then you can evaluate the dot product by component.
 
Ohh! Thank you so much, I get it now :)
 

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