Vectors Proof Questions

A diagram shows a triangle $O A B$ .

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

\vec{OB} = 4\mathbf{b}

$P\,$ is the point on $AB\,$ such that $A P : P B = 2 : 3$

\vec{OP} = k(9\mathbf{a} + 8\mathbf{b})

Find the value of $k$ .

[4]

A diagram shows a triangle $O A B$ .

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

\vec{OB} = 4\mathbf{b}

$P\,$ is the point on $AB\,$ such that $A P : P B = 2 : 3$

\vec{OP} = k(9\mathbf{a} + 8\mathbf{b})

Find the value of $k$ .

[4]

Vectors Proof Questions Questions