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Practice Questions

A vector A has magnitude 12 and is at 60°. Vector B has magnitude 8 and is at 300°. The y-component of their resultant is approximately…

A. 10.4
B. 3.5 ✓
C. 18
D. -6.9
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nmdcat.online AA Physics
Jun 25, 2026

The resultant of three forces F1=10N East, F2=20N North, and F3=10N West is…

A. 20 N North ✓
B. 40 N
C. 20 N South
D. 0 N
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nmdcat.online AA Physics
Jun 25, 2026

A displacement vector has a magnitude of 100 m and a y-component of 86.6 m. If it lies in the second quadrant, its x-component is…

A. +50 m
B. -50 m ✓
C. +86.6 m
D. -86.6 m
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nmdcat.online AA Physics
Jun 25, 2026

The magnitude of the resultant force from the previous two questions (Rx=20, Ry=17.3) is approximately…

A. 37.3 N
B. 2.7 N
C. 26.5 N ✓
D. 30.0 N
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nmdcat.online AA Physics
Jun 25, 2026

For the forces in the previous question, the y-component of the resultant force is approximately…

A. 17.3 N ✓
B. 10.0 N
C. 20.0 N
D. 0 N
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nmdcat.online AA Physics
Jun 25, 2026

A force F1 is 10 N at 0° and F2 is 20 N at 60°. The x-component of the resultant force is approximately…

A. 30.0 N
B. 10.0 N
C. 27.3 N
D. 20.0 N ✓
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nmdcat.online AA Physics
Jun 25, 2026

The sum of the components of vector A (3i + 4j) and vector B (-5i + 2j) results in a new vector with components…

A. (8i, 6j)
B. (2i, 6j)
C. (-2i, 6j) ✓
D. (-2i, -2j)
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nmdcat.online AA Physics
Jun 25, 2026

A vector has a magnitude of 10 units and an x-component of -10 units. Its y-component must be…

A. 10 units
B. -10 units
C. 0 units ✓
D. 20 units
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nmdcat.online AA Physics
Jun 25, 2026

The true angle θ for the resultant vector in the previous question is…

A. 45°
B. 135° ✓
C. 225°
D. 315°
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nmdcat.online AA Physics
Jun 25, 2026

The reference angle φ for a resultant vector with components Rx = -5 N and Ry = 5 N is…

A. 30°
B. 45° ✓
C. 60°
D. 90°
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nmdcat.online AA Physics
Jun 25, 2026

Two vectors A and B have resultants of the same magnitude for both their addition and subtraction. This implies that the angle between vectors A and B is…

A. 0°
B. 45°
C. 90° ✓
D. 180°
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nmdcat.online AA Physics
Jun 25, 2026

A vector has a magnitude of 20 units and its y-component is 10 units. The angle it makes with the positive x-axis could be…

A. 60°
B. 45°
C. 30° ✓
D. 90°
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nmdcat.online AA Physics
Jun 25, 2026

A force of 50 N is applied at an angle of 300°. Its components (Fx, Fy) are approximately…

A. (43.3 N, 25 N)
B. (25 N, 43.3 N)
C. (25 N, -43.3 N) ✓
D. (43.3 N, -25 N)
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nmdcat.online AA Physics
Jun 25, 2026

For the ship in the previous question, the direction of its resultant displacement is…

A. 37° North of East
B. 53° North of East ✓
C. 45° North of East
D. 30° North of East
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nmdcat.online AA Physics
Jun 25, 2026

A ship sails 3 km East and then 4 km North. The magnitude of its resultant displacement is…

A. 7 km
B. 1 km
C. 5 km ✓
D. 12 km
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nmdcat.online AA Physics
Jun 25, 2026

Two forces, F1 = (3i + 4j) N and F2 = (-3i – 4j) N, act on an object. The resultant force has a magnitude of…

A. 10 N
B. 14 N
C. 0 N ✓
D. 5 N
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nmdcat.online AA Physics
Jun 25, 2026

A vector points along the negative x-axis. The angle it makes with the positive x-axis is…

A. 0°
B. 90°
C. 180° ✓
D. 270°
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nmdcat.online AA Physics
Jun 25, 2026

The angle for the direction of a resultant vector is conventionally measured counter-clockwise from the…

A. positive y-axis
B. negative y-axis
C. positive x-axis ✓
D. negative x-axis
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nmdcat.online AA Physics
Jun 25, 2026

If the x-component of a vector is positive and the y-component is negative, the vector lies in the…

A. First Quadrant
B. Second Quadrant
C. Third Quadrant
D. Fourth Quadrant ✓
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nmdcat.online AA Physics
Jun 25, 2026
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