Easy -1.8 This is a straightforward vector addition question requiring only visual recognition of how vectors add tip-to-tail. Students simply need to identify that R = (3i+2j) + (i-3j) = 4i-j and match this to a diagram showing the correct geometric arrangement. No calculation or problem-solving is required—just basic understanding of vector addition representation.
Two forces, \(\mathbf{F}_1 = 3\mathbf{i} + 2\mathbf{j}\) newtons and \(\mathbf{F}_2 = \mathbf{i} - 3\mathbf{j}\) newtons, are added together to find a resultant force, \(\mathbf{R}\) newtons.
This vector addition can be represented using a diagram.
Identify the diagram below which correctly represents this vector addition.
Tick (\(\checkmark\)) one box.
[1 mark]
\includegraphics{figure_14}
Two forces, $\mathbf{F}_1 = 3\mathbf{i} + 2\mathbf{j}$ newtons and $\mathbf{F}_2 = \mathbf{i} - 3\mathbf{j}$ newtons, are added together to find a resultant force, $\mathbf{R}$ newtons.
This vector addition can be represented using a diagram.
Identify the diagram below which correctly represents this vector addition.
Tick ($\checkmark$) one box.
[1 mark]
\includegraphics{figure_14}
\hfill \mbox{\textit{AQA AS Paper 1 2024 Q14 [1]}}