Understanding Dot Product for Diffraction Peaks Calculation

[Ryan P]

Homework Statement

It is question number 1a here:

http://web.utk.edu/~tbarnes/website/cm/cm_hw/hw4/cm_hw4.pdf

The Attempt at a Solution

I'm not entirely sure how to go about this. I've rearranged this equation to get

-3ln(0.33)=G_hkl²<$$\delta^2$$>The thing that confuses me is that G_hkl² is a vector quantity, right? In this case, since we are talking about the (800) plane, would this be just the dot product of G with itself (64)? I'm just not sure how I'm supposed to turn this into a scalar. Any help would be greatly appreciated.

 

[Gokul43201]

Please recheck your definition of the dot product.