A) \[3\mathbf{a}-\mathbf{b}\]
B) \[3\mathbf{b}-\mathbf{a}\]
C) \[3\mathbf{a}-2\mathbf{b}\]
D) \[3\mathbf{b}-2\mathbf{a}\]
Correct Answer: D
Solution :
Since given that \[\overrightarrow{AC}=3\overrightarrow{AB}.\] It means that point \[C\] divides \[AB\] externally. Thus \[\overrightarrow{AC}:\overrightarrow{BC}=3:2\] Hence \[\overrightarrow{OC}=\frac{3.\mathbf{b}-2.\mathbf{a}}{3-2}=3\mathbf{b}-2\mathbf{a}.\]You need to login to perform this action.
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