The vectors $oldsymbol{a}$ and $oldsymbol{b}$ are shown - HSC - SSCE Mathematics Extension 1 - Question 6 - 2020 - Paper 1

To determine which diagram represents the vector oldsymbol{v} = oldsymbol{a} - oldsymbol{b}, we need to understand how vector subtraction works. The operation oldsymbol{a} - oldsymbol{b} can be visualized by placing the tail of vector oldsymbol{b} at the tip of vector oldsymbol{a}. The vector oldsymbol{v} is then drawn from the tail of oldsymbol{b} (the starting point of oldsymbol{a}) to the tip of oldsymbol{a}.

Examining each option:

• Option A does not represent vector subtraction correctly.
• Option B incorrectly positions the vectors.
• Option C makes an incorrect representation of the subtraction.
• Option D accurately represents oldsymbol{v}. Thus, the correct answer is D.