Vectors - Vector Algebra

Vectors - Vector Algebra

Secondary 4

It is given that \(\overrightarrow{OA} = \mathbf{a}\), \(\overrightarrow{OD} = \mathbf{d}\), \(\overrightarrow{OA} : \overrightarrow{AB} = 3 : 2\) and \(\overrightarrow{BC} = \frac{1}{2} \overrightarrow{CD}\). \(\overrightarrow{AE} = \lambda \overrightarrow{AD}\) and \(\overrightarrow{CE} = \mu \overrightarrow{CO}\).

Find the values of \(\lambda\) and \(\mu\).

Vector diagram of points O, A, B, C, D, and E
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Answer:\(\lambda = \frac{3}{13}\), \(\mu = \frac{4}{13}\)

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