Vector A in the drawing is equal to

Question

BlackTom AI · Accepted Answer

To assess which vector equals Vector A, we must compare how the vectors shown add up when placed tail-to-tail and then combined.
Option 1: B + C. This pair adds a vertical component from B (up) with the diagonal component from C (down-right). If the magnitudes are such that the vertical components cancel, the resultant lies along the horizontal axis to the right, matching Vector A’s direction and likely its magnitude as drawn. This alignment with the diagram explains why B + C is R. 
Option 2: B + F. Here we’re adding B (up) with F (left-down). The resulting vector would point toward the left side (since F has a leftward component that dominates the horizontal), which does not align with Vector A’s rightward direction. Therefore this is not A.
Option 3: C + D. C is down-right and D is up-right. Their horizontal components both point to the right, but their vertical components oppose each other. Depending on magnitudes, the vertical parts could cancel, leaving a rightward resultant, or not fully cancel to match A precisely. Since the diagram’s exact magnitudes aren’t given, this option is not as clearly matching A as B + C.
Option 4: C + D + E. This sum includes E, which points left. Adding E shifts the resultant leftward, so the overall direction would deviate from A’s rightward orientation, making this an unlikely match for Vector A.
In summary, the combination that best reproduces the rightward Vector A while accounting for the shown directions is B + C, whereas the other combinations introduce leftward or vertically mismatched components that don’t align with A as drawn.

SPHY001 Practice Quiz - Unit 03 | LA043

Vector A in the drawing is equal to

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