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Oak MathsTest · Maths

Dividing vectors into ratios

The starter and exit quiz of the lesson “Dividing vectors into ratios”, from the unit “Vectors” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. Work out the resultant vector for {10 \choose -2} + {4 \choose 9}.
  2. Match each notation to its correct meaning.
  3. Match each vector to an equivalent vector statement.
  4. Match each vector statement to an equivalent vector statement.
  5. Select the vector path for \overrightarrow{AD}.
  6. Select the statements which are true.
  7. X is a point on a line AB. Match each vector statement to the correct ratio.
  8. B is a point on the line OL. Match each ratio to the correct vector statement.
  9. O, A and B are in a straight line. You are given that \overrightarrow{OA}=12\mathbf{a}+20\mathbf{b} and OA : AB is in the ratio 2 : 3. Work out vector \overrightarrow{AB}.
  10. You are given that O, A and B are in a straight line, \overrightarrow{OA}=12\mathbf{a}+20\mathbf{b} and OB : BA is in the ratio 2 : 3. Work out vector \overrightarrow{BA}.
  11. XYZ is a triangle. \overrightarrow{XY}= 5\mathbf{a}-7.5\mathbf{b} and N lies on \overrightarrow{XY} such that \overrightarrow{XN}=3\mathbf{a}-4.5\mathbf{b}. Write the ratio of XN : NY.
  12. In triangle OAB, \overrightarrow{OA}=18\mathbf{a}, \overrightarrow{OB}=12\mathbf{b}. P is on AB. AP:PB = 1:2. \overrightarrow{OP}=k(6\mathbf{a}+2\mathbf{b}). The value of k is ___.

License: OGL

Dividing vectors into ratios · Examplary