Resultant force via vector addition

Steps:

• Determine force directions from the diagram (e.g., 6N horizontal, 8N at angle).
• Apply parallelogram law: construct parallelogram with vectors as adjacent sides.
• Resultant R is the diagonal vector from tail to opposite head.
• Calculate magnitude √(6² + 8²) = 10N if perpendicular; compare direction to options.

Why A is correct:

• Option A shows R with correct magnitude (10N) and direction bisecting the angle per parallelogram law.

Why the others are wrong:

• B: Incorrect direction, ignores vector addition angle.
• C: Wrong magnitude, suggests scalar sum (14N) instead of vector resultant.
• D: Reversed direction, violates force equilibrium from origin.

Final answer: A