Vector Addition and Subtraction Directions

Steps:

• Draw X, then attach Y's tail to X's head; X+Y direction is from X's tail to Y's head.
• For X-Y, reverse Y to get -Y, attach -Y's tail to X's head; direction from X's tail to -Y's head.
• Compare resultants to diagram options for angle and quadrant.
• Select option matching both directions.

Why B is correct:

• B aligns with parallelogram rule, where X+Y bisects the parallelogram and X-Y follows the direction of X plus reversed Y.

Why the others are wrong:

• A reverses both, violating addition basics.
• C swaps X+Y and X-Y directions.
• D misplaces one resultant in the wrong quadrant.

Final answer: B