Math topic中文

Directed line segment

representing a vector as a directed line segment

Practice questions

  1. 1In the diagram, OA→=6a\overrightarrow{OA} = 6a, OB→=6b\overrightarrow{OB} = 6b and 3AN→=AB→3\overrightarrow{AN} = \overrightarrow{AB}.…
  2. 2ABCD is a parallelogram. A is the point (−6,−2)(-6,-2) and B is the point (−4,−7)(-4,-7). BC→=(8−2)\overrightarrow{BC} = \begin{pmatrix}8\\-2\end{pmatrix}…
  3. 3In the diagram, OA‾=12 AP‾\overline{OA}=\tfrac{1}{2}\,\overline{AP} and OB‾=14 OQ‾\overline{OB}=\tfrac{1}{4}\,\overline{OQ}. M is the mi…
  4. 4A is the point (2,3) and B is the point (3,-5). Find the equation of the line AB. Answer ... Find the length of AB. Answ…
  5. 5ABC is a triangle. D is the point on BC such that 3BD = 2DC. Find AD in terms of m and n. Answer ... R is on AD produced…
  6. 6It is given that AB→=(−12a)\overrightarrow{AB}=\begin{pmatrix}-12\\a\end{pmatrix}, a>0a>0 and ∣BA→∣=37|\overrightarrow{BA}|=37 units. F…
  7. 7The position vector of A is (34)\begin{pmatrix}3\\4\end{pmatrix} and the position vector of B is (710)\begin{pmatrix}7\\10\end{pmatrix}…
  8. 8A is the point (1,−4)(1, -4) and B is the point (−7,−2).(-7, -2). The point C is the result of the translation of point B by the c…
  9. 9AB→=(−39), BC→=(25), CD→=(d4).\overrightarrow{AB}=\begin{pmatrix}-3\\9\end{pmatrix},\ \overrightarrow{BC}=\begin{pmatrix}2\\5\end{pmatrix},\ \overrightarrow{CD}=\begin{pmatrix}d\\4\end{pmatrix}.…