Hits: 281
Hits: 281 Question The diagram shows triangle , in which the position vectors of and with respect to are given by & is a point on such that , where is a constant. i. Find angle . ii. Find in terms of and vectors , and . iii. Find the value of given that is perpendicular to […]
Hits: 977 Question The diagram shows a pyramid OABCP in which the horizontal base OABC is a square of side 10 cm and the vertex P is 10 cm vertically above O. The points D, E, F, G lie on OP, AP, BP, CP respectively and DEFG is a horizontal square of side 6 cm. The height of […]
Hits: 608 Question The diagram shows a pyramid OABC with a horizontal base OAB where OA = 6 cm, OB = 8 cm and angle . The point C is vertically above O and OC = 10 cm. Unit vectors , and are parallel to , and as shown. Use a scalar product to find angle ACB. Solution i. […]
Hits: 296 Question Relative to an origin , the position vectors of the points , and are given by i. Use a scalar product to find angle ABC. ii. Find the perimeter of triangle ABC, giving your answer correct to 2 decimal places. Solution i. We recognize that angle ABC is between vectors and Therefore, first we find vectors and […]
Hits: 330 Question Relative to an origin , the position vectors of the points and are given by and i. Find the value of the for which is perpendicular to . ii. Find the value of the for which magnitude of is 7. Solution i. If and & , then and are perpendicular. Therefore we need to find the […]
Hits: 780 Question The diagram shows the parallelogram OABC. Given that and , find i. the unit vector in the direction of . ii. the acute angle between the diagonals of the parallelogram, iii. the perimeter of the parallelogram, correct to 1 decimal place. Solution i. A unit vector in the direction of is; Therefore, for the given case; […]