Hits: 1853
Hits: 1853 Question Relative to an origin O, the position vectors of points A, B and C are given by and A fourth point, D, is such that the magnitudes , and are the first, second and third terms respectively of a geometric progression. i. Find the magnitudes , and . ii. Given that D is a point lying on […]
Hits: 1422 Question The diagram shows a trapezium OABC in which OA is parallel to CB. The position vectors of A and B relative to the origin O are given by and i. Show that angle OAB is 90o. The magnitude of is three times the […]
Hits: 1375 Question a. Relative to an origin O, the position vectors of two points P and Q are p and q respectively. The point R is such that PQR is a straight line with Q the mid-point of PR. Find the position vector of R in terms of p and q, simplifying your answer. b. The vector […]
Hits: 862 Question Relative to an origin O, the position vectors of points A, B and C are given by and The point P lies on AB and is such that . i. Find the position vector of P. ii. Find the distance OP. iii. Determine whether OP is perpendicular to AB. Justify your answer. Solution i. We are […]
Hits: 967 Question Relative to an origin , the position vectors of points A and B are given by and where p and q are constants. i. In the case where , use a scalar product to find angle AOB. ii. In the case where is parallel to , find the values of p and q. Solution i. […]
Hits: 828 Question Relative to an origin , the position vectors of points A and B are given by and i. Use a scalar product to find angle OAB. ii. Find the area of triangle OAB. Solution i. It is evident that angle OAB is between and . We are given that; and Next, we need scalar/dot product of and . […]
Hits: 998 Question Relative to an origin O, the position vectors of points A and B are given by and and angle AOB=90o. i. Find the value of . The point C is such that . ii. Find the unit vector in the direction of . Solution i. It is evident that angle AOB is between and . […]