Wednesday, 28 May 2008

Condemn In Vectors

It’s a Tuesday; waking up early at 9.00 am is definitely not one of my ways of life, usually I would lug my heavy body from bed around 10.30 or 11 as a daily routine. Madness evoke in me as I planned to slit Alex’s brain my half and blend it in a blender to feed the earthworms for calling my phone hysterically just to have a lacklustre natter.

I spend my remaining hours dealing Additional Maths: Vectors question or I would rather call it early-morning joy annihilators for those would acquire aid to kill their blissful morning which I assumed no one would. Dad griped endlessly about my mid-term Additional Maths for getting a pathetic A2 (77%) for uncountable silly mistakes rather than me unable to do the paper, thus he took stern measurements by obliging me to conceal my face with Add Maths exercises. Reluctantly I complied with his maddening instructions.

1. In triangle PQR, OP = p and OQ = q. T is a midpoint on PQ where PT: TQ = 2:1. Given that M is the midpoint of OT, express PM in terms of p and q.

2. ABCD is a parallelogram. M and N are the midpoints of AB and AD respectively. T is the point of intersection between MN and AC. If OA = a and OC = c,
express OT I terms of a and c.

3. ARC is a straight line where AC = 3RC. The point C is the midpoint of BD and T is the midpoint of AD. Given that BA = x and BC = y.
Express BT and CR in terms of x and y and determine whether the points B, R and T are collinear.

4. Given that OA = a and OB = b. C and D are points on the line OA and OB respectively. If OC = 2/3 OA and OD = 2/3 OB,
show that CD is parallel to AB. State the ration of CD: AB.

5. Given that OA = a and OB = b. the point P divides OA in the ration 1:3 whereas the point R divides AB in the ration 1:2. If PRBQ is a parallelogram,
find RB and OQ.

I finished 5 questions in 45 minutes, if this was about to be out in exams I would probably be a living corpse by now. Brainstorming Vectors is similar to a suicide case; the only difference is that it involves a callous murderer called “vectors”.

Hansley the cordon bleu chef prepares macaroni and cheese. Delicious.

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