Let A and B be points with position vectors a and b with respect to the origin O. If the point C on OA is such that \[2AC=CO,\,\,CD\] is parallel to OB and \[|\overrightarrow{CD}|\,\,=\,\,3|\overrightarrow{OB}|,\] then \[\overrightarrow{AD}\] is equal to

\[3\mathbf{b}+\frac{\mathbf{a}}{3}\]

\[3\mathbf{b}-\frac{\mathbf{a}}{2}\]

\[3\mathbf{b}+\frac{\mathbf{a}}{2}\]

\[3\mathbf{b}-\frac{\mathbf{a}}{3}\]

Let A and B be points with position vectors a and b with respect to th

1.	Let A and B be points with position vectors a and b with respect to the origin O. If the point C on OA is such that \[2AC=CO,\,\,CD\] is parallel to OB and \[\|\overrightarrow{CD}\|\,\,=\,\,3\|\overrightarrow{OB}\|,\] then \[\overrightarrow{AD}\] is equal to
A.	\[3\mathbf{b}-\frac{\mathbf{a}}{2}\]
B.	\[3\mathbf{b}+\frac{\mathbf{a}}{2}\]
C.	\[3\mathbf{b}-\frac{\mathbf{a}}{3}\]
D.	\[3\mathbf{b}+\frac{\mathbf{a}}{3}\]
Answer» D. \[3\mathbf{b}+\frac{\mathbf{a}}{3}\]

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Let A and B be points with position vectors a and b with respect to the origin O. If the point C on OA is such that \[2AC=CO,\,\,CD\] is parallel to OB and \[|\overrightarrow{CD}|\,\,=\,\,3|\overrightarrow{OB}|,\] then \[\overrightarrow{AD}\] is equal to

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