EM-3160

Vectors as directed line segments

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

In a triangle, the position vectors of points

A

and

B

relative to origin

O

are

\vec{OA} = 3\mathbf{p}

and

\vec{OB} = 5\mathbf{p}

. Point

C

lies on line segment

AB

such that

AC:CB = 2:3

.

Express

\vec{OC}

in terms of

\mathbf{p}

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