Makerere University Vectors Worksheet

THE DIAGRAM BELOW SHOWS A TRIANGLE OPQ IN WHICH M AND N ARE POINTS ON OQ AND PQ RESPECTIVELY SUCH THAT OM = ⅔ OQ AND PN = ¼ PQ. LINES PM AND ON MEETS AT X

GIVEN THAT OP = P AND OQ = Q EXPRESS IN TERM OF P AND Q THE VECTORS.

(I) PQ

(II) PM. (2MKS)

(III) ON. (2MKS)

(B) YOU ARE FURTHER GIVEN THAT OX = KON AND PX = HPM.
(I) EXPRESS OX IN TERMS OF P AND Q IN TWO DIFFERENT WAYS. (2MKS)

(II) FIND THE VALUE OF H AND K. (2MKS)

(III) FIND THE RATIO PX : XM. (1MK)