Hits: 1606
Hits: 1606 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 […]
Hits: 874 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 […]
Hits: 937 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. […]
Hits: 437 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 . […]
Hits: 587 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 […]
Hits: 554 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 […]