Page 80 - Math SL HB Sem 2

(a) (i) Show that AB = rl
['.J

( ii) Find AD

f6)
(iii) Hence show that AC =
t:l
(s)

(b) Find the coordinates ofpoint C.
(3)

(c) (i) Find aE. eE .

(ii) flence find angle ,4.
(7)

(d) Hence, or otherwise, find the area ofthe parallelogram.
(3)

o A triangle has its vertices at A(-1, 3), B(3, 6) and C(-4, a).

(a) Show that AB. AC = -9.
(3)

(b) Find BAC
(4)
(Total 7 marks)

6. In this question, distance is in metres, time is in minutes.

Two model airplanes are each flying in a straight line.

At l3:00 the first model airplane is at the point (3, 2, 7). Is position vector after , minutes is

given by
tlltil.,[,i]

(a) Find the speed olthe model airplane.
(2)

At l3:00 the second model airplane is at the point (- 5, 10, 23). After two minutes, it is at the
point (3, 16, 39).

(b) Show that its position vector after, minutes is given by
ill til.,[:]

(3)

lB Questionbank Maths SL 2