I see that you've uploaded an image containing problems from Exercise 8.6 related to vectors. The questions involve various vector operations such as scalar multiplication, vector addition, and determining vector expressions.

Here's an outline of what I can assist with:

1. Question 1: Given that $\overrightarrow{PQ} = (1, 9)$, you are tasked with finding $\lambda$ when $\overrightarrow{PQ} = \lambda \overrightarrow{PQ}$. There are four options for $\lambda$ (4, -2, 1, and $\frac{1}{3}$).

2. Question 2: This problem involves finding the vector expression for $2a - 3b + c$, where $a = 5i + 2j$, $b = 3i - j$, and $c = 4i - 7j$.

3. Question 3: This asks you to calculate the vector expressions for $5p + 2q$, where the position vectors of $P$, $Q$, and $R$ are given as $p = 5i - 4j$, $q = -3i + 4j$, and $r = 7i - j$.

4. Question 4: Involves finding vector expressions such as $2p - r$ and $3p + 2q$, where $p = 2i$, $q = i - j$, and $r = 5j$.

5. Question 5: Given vectors $OP = 3i + 9j$, $OQ = 7i - 2j$, and $OR = 4i + j$, you are tasked with finding certain combinations like $\frac{1}{3}OP + 2OQ$ and others.

Would you like me to solve a particular question, or would you prefer a full solution of the exercise? Let me know how you'd like to proceed.