Dot Product And Angle Between Vectors

Question

Consider the vectors $$u = (1,2)$$ and $$v=(3,-1)$$. Which of the following statements about their dot product and the angle between them is true?

Accepted Answer

The dot product is $$1$$, and the angle between them is $$\arccos\left(\frac{1}{\sqrt{50}}\right)$$.

Answer

The dot product is $$5$$, and the angle between them is $$\arccos\left(\frac{5}{\sqrt{50}}\right)$$.

Answer

The dot product is $$1$$, and the angle between them is $$\arctan\left(\frac{1}{\sqrt{50}}\right)$$.

Answer

The dot product is $$0$$, indicating that the vectors are perpendicular.

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