The base of a pyramid is the parallelogram    with vertices at points    and  . The apex (top) of the pyramid is located at  .

1. Find the values of    and  .  (2 marks)
   

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2. Find the cosine of the angle between the vectors    and  .  (2 marks)
   

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3. Find the area of the base of the pyramid.  (2 marks)
   

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4. Show that    is perpendicular to both    and  , and hence find a unit vector that is perpendicular to the base of the pyramid.  (3 marks)
   

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5. Find the volume of the pyramid.  (2 marks)
   

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Let    be a right square pyramid where    and  .

An equation correctly relating these vectors is

A.   

B.   

C.   

D.   

E.