EM-3170

Vectors as directed line segments

E Math · Secondary 4 · Hard · Vectors as directed line segments

Relative to origin

O

, the position vectors of

C

and

D

are

2a

and

3b

respectively. Point

E

lies on

CD

such that

\overrightarrow{CE} = \dfrac{1}{3}\overrightarrow{CD}

. Find

\overrightarrow{OE}

in terms of

a

and

b

.

$\dfrac{4}{3}a + b$
$\dfrac{2}{3}a + b$
$2a + 3b$
$a + \dfrac{1}{3}b$

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