EM-1443

Vectors as directed line segments

E Math · Secondary 3 · Hard · Vectors as directed line segments

Point M lies on line segment AB such that

AM : MB = 1 : 3

. Which vector equation correctly represents

\overrightarrow{AM}

in terms of

\overrightarrow{AB}

?

$\overrightarrow{AM} = \dfrac{1}{4}\,\overrightarrow{AB}$
$\overrightarrow{AM} = \dfrac{3}{4}\,\overrightarrow{AB}$
$\overrightarrow{AM} = 4\,\overrightarrow{AB}$
$\overrightarrow{AM} = \dfrac{1}{3}\,\overrightarrow{AB}$

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