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

AI Thread Summary
To solve the problem of 3i dot (j x k), first evaluate the cross product j x k, which results in the vector i, following the right-hand rule. Next, compute the dot product of 3i with the resulting vector i, which yields a value of 3. The solution involves understanding the relationship between the vectors and applying the properties of cross and dot products. The discussion emphasizes the importance of visualizing the vectors and their perpendicular relationships. The final answer to the problem is confirmed as 3.
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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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