GCSE Vectors

Garh, Having big trouble with this question. My exams tomorrow and vectors is my main trouble area.

Image attached below.

(a) Find the vector OB as a column vector. I got {5 / 2}

X is the point on OB such that OX = kOB, where 0 < k < 1.

(b) Find, in terms of k, the vectors:
{i} OX - I got k(5 / 2)
{ii} AX - I got (-1 / -2) + k(5 / 2)
{iii} XC -

(c) Find the value of k for which AX = XC.

(d) Use your answer to part (c) to show that the diagonals of the parallelogram OABC bisect one another.

I have no clue for the rest, would really appreciate some help. Could someone tell me if what I've done so far is right and how to do the last couple. Thanks!

Maths Q.png8.0KB

Reply 1

nuodai

For (b iii) you just have to do the same as you did for AX except in reverse. AX = OX - OA, so XC = OC - OX. Then it follows for part (c) that you just put them equal to each other, and you can use your answers to do part (d).