Determine the position vector of ##C##

[chwala]

Homework Statement

Kindly see attached.

Relevant Equations

Vectors

Highlighted part only...

Part (a) was easy $2\sqrt 5$.

For part (b),

...$BC=4i+2j$

it follows that,

$OC=OB+BC$

$OC=3i+5j+4i+2j=7i+7j$ correct? any other better approach guys!

For part (c),

I will form the equations as follows;

Let $D(x,y)$ then,

$x-4=2(4-3)$

and

$y-4=2(4-5)$ where M=$(4,4)$

$x=6, y=2$,

part (d) - Kite.

 

[pasmith]

For (b). you have simply asserted that $BC = 4\mathrm{i} + 2\mathrm{j}$. This is correct, but you need to justify it by solving $$20 = |AB|^2 = |BC|^2 = (p - 3)^2 + (p - 5)^2.$$