Question 93 – 1.4 A: Proof - AQA A Level Maths Questions

Relative to a fixed origin $O$ , the points $P$ , $Q$ , and $R\,$ have position vectors $p\mathbf{p}$ , $q\mathbf{q}$ , and $r\mathbf{r}$ respectively. The points $P$ , $Q$ , and $R\,$ lie on a straight line such that $Q\,$ lies between $P\,$ and $R$ . Given that $P Q : P R = 1 : 4$ , show that:

\mathbf{r} = 4\mathbf{q} - 3\mathbf{p}

Given that $\in \mathbb{Z}$ , prove by contradiction that if $n^2\,$ is a multiple of 5, then $n\,$ is a multiple of 5.

\mathbf{r} = 4\mathbf{q} - 3\mathbf{p}

Given that $\in \mathbb{Z}$ , prove by contradiction that if $n^2\,$ is a multiple of 5, then $n\,$ is a multiple of 5.

1.4 A: Proof

Question 81

1.4 A: Proof

Question 81

1.4 A: Proof

Question 81

1.4 A: Proof Questions

1.4 A: Proof

Question 81

1.4 A: Proof Questions