For the vectors in the figure below, with a = 8, b = 7, and c = 113, calculate the following dot products.
I'm sorry, but I am unable to see the figure you mentioned. However, I can still explain how to calculate dot products and guide you through the process.
To calculate the dot product between two vectors, you need to multiply their corresponding components and then sum up the results. The formula for dot product (also known as the scalar product) of two vectors A and B is:
A · B = A₁ * B₁ + A₂ * B₂ + A₃ * B₃ + ...
Here, A₁, A₂, A₃, ... are the components of vector A, and B₁, B₂, B₃, ... are the components of vector B. The dot product will give you a single scalar value as the result.
If you provide me with the components or the figure of the vectors you mentioned (i.e., their individual numeric values) and indicate which vectors to use for each calculation, I can guide you through calculating the dot products.