Question

Need help with dot product

Answer 1

`\textbf{A}\cdot\textbf{B} = 11.5`

Step-by-step explanation:

The dot product between two vectors
`\textbf{A}` and
`\textbf{B}` is defined as

`\textbf{A}\cdot\textbf{B} = ABcos(\theta)`

where A and B are the magnitudes of the vectors
`\textbf{A}` and
`\textbf{B},` respectively and
`\theta` is the angle between the two. Since A = 3, B = 5 and
`\theta = 40°,` the dot product
`\textbf{A}\cdot\textbf{B}` is

`\textbf{A}\cdot\textbf{B} = (3)(5)(0.766) = 11.5`