Question:medium
Let $\vec{AB}=2\hat{i}+10\hat{j}+11\hat{k}$ and $\vec{AC}=-\hat{i}+2\hat{j}+2\hat{k}$. If $\theta$ is the angle between $\vec{AB}$ and $\vec{AC}$, then $\sin\theta=$ ________.
Let $\vec{AB}=2\hat{i}+10\hat{j}+11\hat{k}$ and $\vec{AC}=-\hat{i}+2\hat{j}+2\hat{k}$. If $\theta$ is the angle between $\vec{AB}$ and $\vec{AC}$, then $\sin\theta=$ ________.
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$\sin^2\theta + \cos^2\theta = 1$.
Updated On: Jun 24, 2026
- $\frac{\sqrt{13}}{9}$
- $\frac{\sqrt{15}}{9}$
- $\frac{\sqrt{14}}{9}$
- $\frac{\sqrt{17}}{9}$
- $\frac{4}{9}$
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The Correct Option is D
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