Determine the position vector of ##C##

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SUMMARY

The discussion focuses on determining the position vector of point C in a geometric context. Participants confirm that the vector BC is represented as 4i + 2j, leading to the calculation of OC as 7i + 7j. The equations for part (c) are established using the midpoint M(4,4), resulting in coordinates x=6 and y=2. The necessity for justification in part (b) is highlighted, emphasizing the relationship between the lengths of segments AB and BC.

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chwala
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Homework Statement
Kindly see attached.
Relevant Equations
Vectors
Highlighted part only...

1686587242715.png


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.
 
Last edited:
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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 <br /> 20 = |AB|^2 = |BC|^2 = (p - 3)^2 + (p - 5)^2.
 
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