Improve Competency with MyMathsHero
Definition of a vector. A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction. … Two examples of vectors are those that represent force and velocity.
In this topic, we cover the following: Angles, triangles, polygons, circles, geometric ratios, translation, rotation, reflection & enlargement, vectors quantities, sum and difference of vectors, scalar multiplication, vector components, vector algebra, congruencies, enlargement and combining transformations. At the end of this topic, students should understand the following among other things:
- Recall and build on previous knowledge to define and distinguish between displacement equivalent and position vectors,
- Use the present knowledge and recall previous knowledge to calculate the magnitude and direction of a vector and solve questions relating to polygon, property of quadrilaterals, triangles, congruent of triangles, chords of a circle, angle properties of circles, tangents of circles, contact of circles, geometric ratios and the intercept and midpoint theorems,
- Use the present and past knowledge to solve mathematical expressions relating to translation, rotation, reflection and enlargement,
- Solve questions on vectors, equal and parallel vectors, position vector, sum of vectors, difference of two vectors and cartesian components of a vector.