Vector components must be perpendicular

Steps:

• Recall that a vector decomposes into two components along perpendicular directions, forming a right triangle with the original vector.
• Examine each diagram to confirm if the two arrows meet at 90 degrees and their vector sum equals R.
• Verify the tail-to-head addition reconstructs R precisely.
• Identify the diagram where the angle between components deviates from 90 degrees.

Why C is correct:

• The components in C form an acute angle, not 90 degrees, so they do not qualify as perpendicular per vector resolution definition.

Why the others are wrong:

• A: Components are perpendicular and sum to R via right-triangle rule.
• B: Shows orthogonal components correctly adding to R.
• D: Perpendicular arrows reconstruct R accurately.

Final answer: C