trong>
75°
81°
85°
Correct answer is C
\(\overrightarrow{x} . \overrightarrow{y} = |\overrightarrow{x}||\overrightarrow{y}|\cos\theta\)
\(\overrightarrow{x} . \overrightarrow{y} = (i - 3j) . (6i + j) = 6 - 3 = 3\)
\(|\overrightarrow{x}| = \sqrt{1^{2} + (-3)^{2}} = \sqrt{10}\)
\(|\overrightarrow{y}| = \sqrt{6^{2} + 1^{2}} = \sqrt{37}\)
\(\therefore 3 = (\sqrt{10})(\sqrt{37})\cos \theta\)
\(\cos\theta = \frac{3}{\sqrt{370}} = 0.1559\)
\(\theta = \cos^{-1} 0.1559 \approxeq 81°\)