Hits: 2541

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | Oct-Nov | (P1-9709/13) | Q#5

Hits: 2541 Question Relative to an origin O, the position vectors of the points A and B are given by and    i.       For the case where OA is perpendicular to OB, find the value of p.    ii.       For the case where OAB is a straight line, find the vectors  and . Find also the length of        […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | Oct-Nov | (P1-9709/12) | Q#7

Hits: 1028 Question Relative to an origin O, the position vectors of the points A, B and C are given by and i.         In the case where ABC is a straight line, find the values of p and q. ii.       In the case where angle BAC is 90o, express q in terms of p.  iii.   In […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | Oct-Nov | (P1-9709/11) | Q#10

Hits: 1316 Question The diagram shows a cuboid OABCPQRS with a horizontal base OABC in which AB = 6 cm and  OA = a cm, where a is a constant. The height OP of the cuboid is 10 cm. The point T on BR is such that BT = 8 cm, and M is the mid-point of AT. […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | May-Jun | (P1-9709/13) | Q#5

Hits: 670   Question Relative to an origin O, the position vectors of the points A, B and C are given by and      i.       Show that angle ABC is  .    ii.       Find the area of triangle ABC, giving your answer correct to 1 decimal place. Solution      i.   We recognize that angle ABC is between  and . […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | May-Jun | (P1-9709/12) | Q#9

Hits: 874 Question Relative to an origin , the position vectors of points A and B are given by and      i.      Use a vector method to find angle AOB. The point C is such that .    ii.       Find the unit vector in the direction of   iii.     Show that triangle OAC is isosceles. Solution      i.   We […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | May-Jun | (P1-9709/11) | Q#4

Hits: 927 Question Relative to the origin O, the position vectors of points A and B are given by and i.       Find the cosine of angle AOB. The position vector of C is given by .      ii.       Given that AB and OC have the same length, find the possible values of k. Solution      i.   We recognize […]