Question

Find the vectors.

Answer 1

In the diagram, OA → = 4a, OC → = 2c and CB → = a.
(a) Express BA → in terms of a and c.
(b) OP → = 2a – c.
Explain why OP → is parallel to BA →.
(c) Find area of a triangle OBA
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area of a triangle OPA

Answer 2

OA = OC + CB + BA


4a = 2c + a + BA

Answer 3

solve BA

Answer 4

(ii) OP=2a-c and BA=3a-2c
SO OP//BA because each are linear relation of a,-c

Answer 5

(iii) (OBA)=1/2|OBxOA|=1/2|(2c+a)x(4a)|=4/2(2c x a+a x a)=4c x a=4|c|*|a|*sin(c,a)

Answer 6

do the same to find (OPA)