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I was talking with a student today about the reflection of a line in a line, where both lines are in the same plane (naturally). And I thought of sharing it. One reason why I decided to discuss [...]

Find the acute inclination of the reflected ray to the -axis when is inclined at to the -axis and to the -axis.

Today I’ll share a question that came out of CJC Prelim 2017 Paper 1 for H2 Mathematics 9758. I think some of my student would have seen this question before and we discussed it in class [...]

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 [...]

Thinking@TheCulture is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding. Thinking Math@TheCulture is curated by KS. More of [...]

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 [...]

If , where , and are all non-zero vectors, show that bisects the angle between and .

Many schools have been doing vectors recently. Thought I’ll share a little summary/ checklist I have done for my students. Basic Concepts Operations on Vectors Addition & Subtraction [...]

I’ve covered some things in classes, with sufficient revisions and final lap papers set. So I thought we have a little breakdown. And of course, we should review what was weeded away in the [...]