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Which of the following is the dot product of u = 4i + 6j – 5k and v=-10i – 8j + 10k?

1 Answer

4 votes

Answer:


\vec u\ . \ \vec v=-138

Step-by-step explanation:

Dot Product of Vectors

The dot product of two vectors is also known as scalar product. Given the vectors


\vec u=4\hat i+6\hat j-5\hat k


\vec v=-10\hat i-8\hat j+10\hat k

The dot product is the sum of the products of each component separately


\vec u\ . \ \vec v=(4)(-10)+(6)(-8)+(-5)(10)


\vec u\ . \ \vec v=-40-48-50=-138

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