Hits: 998
Hits: 998 Question The diagram shows a pyramid OABC in which the edge OC is vertical. The horizontal base OAB is a triangle, right-angled at O, and D is the mid-point of AB. The edges OA, OB and OC have lengths of 8 units, 6 units and 10 units respectively. Unit vectors , and are parallel to , […]
Hits: 389 Question Relative to an origin , the position vectors of three points A and B are given by and i. In the case where , find the unit vector in the direction of . ii. Find the values of for which angle . Solution i. We are given that; In the case where , A […]
Hits: 599 Question The diagram shows a pyramid OABCD in which the vertical edge OD is 3 units in length. The point E is the centre of the horizontal rectangular base OABC. The sides OA and AB have lengths of 6 units and 4 units respectively. Unit vectors , and are parallel to , and respectively. i. Express […]
Hits: 565 Question The diagram shows a parallelogram OABC in which relative to an origin , the position vectors of three points A, B and C are given by and i. Use a scalar product to find angle BOC. ii. Find a vector which has magnitude 35 and is parallel to the vector . Solution i. We recognize that […]
Hits: 395 Question Relative to an origin , the position vectors of three points A and B are given by , and where and are constants. i. State the values of p and q for which is parallel to . ii. In the case where , find the value of for which angle BOA is . iii. In the case where […]
Hits: 371 Question Relative to an origin , the position vectors of three points A, B and C are given by , and where and are constants. i. Show that is perpendicular to for all non-zero values of and . ii. Find the magnitude of in terms of and . […]