Two vectors are given as follows: $\vec{B} = -2\vec{i} - 8\vec{j} + 2\vec{k}$ $\vec{C} = -5\vec{i} - 2\vec{j} - 3\vec{k}$ The angle between vectors $\vec{B}$ and $\vec{C}$, in degrees, is closest to: A) 112 B) 68 C) 90 D) 128
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Step 1: The angle $\theta$ between two vectors $\vec{B}$ and $\vec{C}$ can be found using the dot product formula: $\vec{B} \cdot \vec{C} = |\vec{B}| |\vec{C}| \cos{\theta}$ $\cos{\theta} = \frac{\vec{B} \cdot \vec{C}}{|\vec{B}| |\vec{C}|}$ Show more…
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