24 In the grid, OA→=a\overrightarrow{OA} = a and OB→=b\overrightarrow{OB} = b. Q is a point on the grid.

  1. (a)

    Mark and label the point P such that OP→=−b−2a\overrightarrow{OP} = -b - 2a.

  2. (b)

    Express OQ→\overrightarrow{OQ} in the form ma+nbm a + n b, where m,nm, n are real numbers.

  3. (c)

    Given that OC→=(6x)\overrightarrow{OC}=\begin{pmatrix}6\\x\end{pmatrix} and OC→\overrightarrow{OC} is parallel to AB‾\overline{AB}, find the value of x.

Addition subtraction scalar multiplicationFundamental theorem of vectors and coordinate representation中文
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