Answer:
[tex]\vec u\ . \ \vec v=-138[/tex]
Explanation:
Dot Product of Vectors
The dot product of two vectors is also known as scalar product. Given the vectors
[tex]\vec u=4\hat i+6\hat j-5\hat k[/tex]
[tex]\vec v=-10\hat i-8\hat j+10\hat k[/tex]
The dot product is the sum of the products of each component separately
[tex]\vec u\ . \ \vec v=(4)(-10)+(6)(-8)+(-5)(10)[/tex]
[tex]\vec u\ . \ \vec v=-40-48-50=-138[/tex]
