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Given the vectors
\[
\begin{array}{l}
\overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-\hat{\mathrm{k}} \\
\overrightarrow{\mathrm{B}}=3 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}-2 \hat{\mathrm{k}}
\end{array}
\]
\( \mathrm{P} \)
W
\& \( \quad \vec{C}=p \hat{i}+p \hat{j}+2 p \hat{k} \)
Find the angle between \( (\overrightarrow{\mathrm{A}}-\overrightarrow{\mathrm{B}}) \& \overrightarrow{\mathrm{C}} \)
(A) \( \theta=\cos ^{-1}\left(\frac{2}{\sqrt{3}}\right) \)
(B) \( \theta=\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right) \)
(C) \( \theta=\cos ^{-1}\left(\frac{\sqrt{2}}{3}\right) \)
(D) none of these
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