\[\overrightarrow{a}=3\,\hat{i}-5\hat{j}\] and \[\overrightarrow{b}=6\,\hat{i}+3\,\hat{j}\] are two vectors and \[\overrightarrow{c}\] is a vector such that \[\overrightarrow{c}=\overrightarrow{a}\times \overrightarrow{b}\] then \[|\overrightarrow{a}|:|\overrightarrow{b}|:|\overrightarrow{c}|\]

• A. \[\sqrt{34}:\sqrt{45}:\sqrt{39}\]
• B. \[\sqrt{34}:\sqrt{45}:39\]
• C. \[34\text{ }:\text{ }39\text{ }:\text{ }45\]
• D. \[39\text{ }:\text{ }35\text{ }:\text{ }34\]