Hits: 958

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2006 | May-Jun | (P1-9709/01) | Q#8

Hits: 958   Question The diagram shows the roof of a house. The base of the roof, OABC, is rectangular and horizontal with  and  . The top of the roof  is 5m above the base and . The sloping edges , ,  and  are all equal in length. Unit vectors  and  are parallel to ,  respectively and  is vertically upwards. […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2006 | Oct-Nov | (P1-9709/01) | Q#4

Hits: 275 Question The position vectors of points  and  are  and   respectively, relative to an origin . i.       Calculate angle .    ii.       The point  is such that  . Find the unit vector in the direction of . Solution i.   We recognize that  is angle between  and  . Hence we use scalar/dot product of  and . The scalar or dot product of two […]