Easy -1.8 This is a straightforward recall question requiring only the distance formula between two points. Students must subtract coordinates (18-5=13, 7-(-3)=10) and recognize the formula √[(Δx)² + (Δy)²]. It's a 1-mark multiple choice question with no problem-solving or conceptual depth required—purely procedural.
One of the following is an expression for the distance between the points represented by position vectors \(5\mathbf{i} - 3\mathbf{j}\) and \(18\mathbf{i} + 7\mathbf{j}\)
Identify the correct expression.
Tick (\(\checkmark\)) one box.
[1 mark]
\(\sqrt{13^2 + 4^2}\)
\(\sqrt{13^2 + 10^2}\)
\(\sqrt{23^2 + 4^2}\)
\(\sqrt{23^2 + 10^2}\)
One of the following is an expression for the distance between the points represented by position vectors $5\mathbf{i} - 3\mathbf{j}$ and $18\mathbf{i} + 7\mathbf{j}$
Identify the correct expression.
Tick ($\checkmark$) one box.
[1 mark]
$\sqrt{13^2 + 4^2}$
$\sqrt{13^2 + 10^2}$
$\sqrt{23^2 + 4^2}$
$\sqrt{23^2 + 10^2}$
\hfill \mbox{\textit{AQA AS Paper 1 2020 Q12 [1]}}