Hits: 867

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2003 | Oct-Nov | (P1-9709/01) | Q#7

Hits: 867 Question The diagram shows a triangular prism with a horizontal rectangular base , where  units and  units. The vertical ends  and  are isosceles triangles with  units. The mid-points of  and  are  and  respectively. The origin  is at the mid-point of . Unit vectors ,  and  are parallel to ,  and  respectively. i.       Find the length of OB. […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2003 | May-Jun | (P1-9709/01) | Q#8

Hits: 393 Question The points , ,  and  have position vectors , ,   and  respectively. i.       Use a scalar product to show that  and  are perpendicular.    ii.       Show that  and  are parallel and find the ratio of the length of  to the length of . Solution We have the position vectors for points , ,  and ; i. […]