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If \( \theta \) is the angle between the lines whose vector equations are \( r=3 \mathbf{i}+2 \mathbf{j}+4 \mathbf{k}+\lambda(\mathbf{i}+2 \mathbf{j}+2 \mathbf{k}) \) and \( r=5 \mathbf{i}-2 k+\mu(3 \mathbf{k}+2 \mathbf{j}+6 k) ; \lambda \) and \( \mu \) being parameters, then
(a) \( \cos \theta=\frac{19}{21} \)
(b) \( \sin \theta=\frac{19}{21} \)
(c) \( \sin \theta=\frac{4 \sqrt{5}}{21} \)
(d) \( \cos \theta=\frac{4 \sqrt{5}}{21} \)
\( \mathrm{P} \)
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