Vectors Proof Questions

51%

A vector diagram showing a triangle OAB. Vector OA is labeled 'a' and vector OB is labeled 'b'.

\vec{OA} = \mathbf{a}

\vec{OB} = \mathbf{b}

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

\vec{OP} = k(2\mathbf{a} + 3\mathbf{b})

Find the value of $k$ .

[4]

51%

A vector diagram showing a triangle OAB. Vector OA is labeled 'a' and vector OB is labeled 'b'.

\vec{OA} = \mathbf{a}

\vec{OB} = \mathbf{b}

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

\vec{OP} = k(2\mathbf{a} + 3\mathbf{b})

Find the value of $k$ .

[4]

Vectors Proof Questions Questions