Mathematics 7356: Vectors Topical Past Paper Questions

It is given that two points A and B have position vectors $$ \overrightarrow{O A}=\left[\begin{matrix}{5}\\ {-1}\\ \end{matrix}\right]\mathsf{m e t r e s}\qquad\mathrm{a n d}\qquad\overrightarrow{O B}=\left[\begin{matrix}{13}\\ {5}\\ \end{matrix}\right]\mathsf{m e t r e s}. $$ Sh…

The graph of the equation $ y=\frac{1}{x} $ is translated by the vector $ \begin{bmatrix}3\\0\end{bmatrix} $ Write down the equation of the transformed graph. [1 mark] (b) State the equations of the asymptotes of the transformed graph. [2 marks]

Curve C has equation $ y = x^{2} $ C is translated by vector $ \begin{bmatrix} 3 \\ 0 \end{bmatrix} $ to give curve $ C_{1} $ Line L has equation y = x L is stretched by scale factor 2 parallel to the x-axis to give line $ L_{1} $ Find the exact distance between the two intersect…