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1. End of Unit Test on Probability for S2 Students
2. End of Unit Test on Statistics of Grouped Data for S2 Students
3. End of Unit Test on Isometries for S2 Students
4. End of Unit Test on Pythagoras Theorem for S2 Students
5. End of Unit Test on Thales Theorem for S2 Students
6. End of Unit Test on Multiplier for Proportional Change for S2 Students
7. End of Unit Test on Simultaneous Linear Equations and Inequalities for S2 Students
8. End of Unit Test on Polynomials for S2 Students
9. End of Unit Test on Indices and Surds for S2 Students
Vectors Unit Summary
1. A vector is any quantity that has both magnitude and direction. Examples of vector quantities are: displacement, velocity, acceleration and force.
2. Properties of a vector quantity are magnitude and direction.
3. When a displacement vector is written as AB = \(\begin{pmatrix} x\\y \end{pmatrix}\) is called a column vector.
4. Vector can be denoted using different ways:
i) Bold capital letter e.g. AB
ii) Capital letters with arrow e.g. \(\overrightarrow{AB}\)
iii) Position vector with bold and small letters e.g. a, b or \(\overrightarrow{a}\), \(\overrightarrow{b}\)
5. Null vector has no magnitude and direction. It is denoted as 0 or \(\overrightarrow{o}\).
6. Two vectors are equivalent if they have the same direction and equal magnitude.
7. A point that bisects a vector equally is called a midpoint. It lies halfway on the vector.
8. The vector sum of two or more vectors is called resultant vector.
9. All position vector have 0 as their initial position.
10. When a vector \(a=\begin{pmatrix} x\\y \end{pmatrix}\) is multiplied by a scalar \(k\),
we obtain \(ka=k\begin{pmatrix} x\\y \end{pmatrix}=\begin{pmatrix} kx\\ky \end{pmatrix}\).
11. When a vector is multiplied by a position scalar, its direction does not change. However, when a vector is multiplied by a negative scalar, its direction is reversed.
12. The magnitude of the column vectors \(a=\begin{pmatrix} x\\y \end{pmatrix}\) is given by:
\(\vert a\vert =\sqrt{x^2+y^2}\)
13. The magnitude of vector AB between points \(A(x_1, y_1)\) and \(B (x_2, y_2)\) is given by:
\(\vert AB \vert =\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}\).