The image you uploaded contains a set of vector notations and some equations on the whiteboard. Here's a summary of what I see:

Vectors are defined as follows:

• $A = \{2, 1\}$
• $B = \{1, 1, 1\}$
• $C = \{1, 1\}$
• $D = \{1, 1\}$
• $E = \{1, 3\}$
• $F = \{1, 1\}$
• $G = \{1, 1, 3\}$
• $H = \{1, 1, 12\}$

The equations seem to be operations between these vectors, possibly dot products or some other operation.

Would you like me to calculate these operations or explain further about them?

Also, here are five related questions you might find interesting:

1. How do vector dot products work in this context?
2. What are the properties of the cross product when dealing with vectors?
3. Can you perform matrix multiplication on these vectors? How does that work?
4. How can we apply these vectors in real-world problems like physics or engineering?
5. What is the difference between a row vector and a column vector?

Tip: When working with vectors, it’s important to keep track of whether you’re dealing with row or column vectors since it affects how operations like matrix multiplication are performed.