Vector Subtraction as Addition of Negative

Steps:

• Recall Z = X - Y equals X + (-Y), where -Y reverses Y's direction.
• Position vectors tail-to-tail at origin for reference.
• Draw X from origin to its tip.
• From X's tip, draw -Y (Y flipped) to reach Z's tip.
• Z connects origin to final tip.

Why A is correct:

• Diagram A shows Z as X followed by -Y, matching the subtraction formula Z = X + (-Y).

Why the others are wrong:

• B incorrectly adds Y to X, representing X + Y.
• C reverses X instead of Y, showing -X + Y.
• D places vectors head-to-tail oppositely, yielding Y - X.

Final answer: A