Question

Vector equation of line - Pyramid

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(a) Write down the equation of the line l through the centre of the square

base that is perpendicular to the base.


(b) Use the fact that the vertex D is on the line l together with the fact

that the length of the sloping side is a to calculate the position vector of

the point D with respect to the origin O in terms of a and the unit

vectors i, j and k.


(c) Hence write down the equation of the line that passes through the

points A and D.


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