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As the prelims examinations draw really close, many students were asking me to give questions to test their concepts for several topics. In class, I had the opportunity to explore several [...]

Another interesting vectors question. The fixed point has position vector a relative to a fixed point . A variable point has position vector r relative to . Find the locus of if r (r – a) = 0.

This is a question a student sent me a few days back, and I shared with my class. Find the Cartesian equation of the locus of all points (plane) that is equidistant of the plane and plane. The [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Direction vector of Normal vector of Since is parallel to the normal [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) Let be point on L that makes from P. for some So when , L is [...]