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Practice Questions

The direction of a resultant vector R with components Rx = -3 and Ry = -3 is…

A. 45°
B. 135°
C. 225° ✓
D. 315°
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Jun 25, 2026

A displacement of 10 m is directed at 210° counter-clockwise from the positive x-axis. Its y-component is…

A. -5.0 m ✓
B. -8.7 m
C. +5.0 m
D. +8.7 m
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Jun 25, 2026

The magnitude of the resultant of two vectors can be found using the Pythagorean theorem only if the vectors are…

A. parallel
B. anti-parallel
C. perpendicular ✓
D. equal in magnitude
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Jun 25, 2026

A force vector of 20 N is applied along the negative y-axis. Its components (Fx, Fy) are…

A. (20 N, 0 N)
B. (0 N, 20 N)
C. (-20 N, 0 N)
D. (0 N, -20 N) ✓
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Jun 25, 2026

The resolution of a vector into its perpendicular components is the reverse process of…

A. vector subtraction
B. vector composition ✓
C. scalar multiplication
D. dot product
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Jun 25, 2026

A vector F has components Fx = 10 N and Fy = 10 N. The angle this vector makes with the positive x-axis is…

A. 30°
B. 45° ✓
C. 60°
D. 90°
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Jun 25, 2026

The resultant of two perpendicular forces of 5 N and 12 N has a magnitude of…

A. 17 N
B. 7 N
C. 60 N
D. 13 N ✓
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Jun 25, 2026

For a vector making an angle of 135° with the positive x-axis, the signs of its rectangular components (Rx, Ry) are…

A. (+, +)
B. (-, +) ✓
C. (-, -)
D. (+, -)
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Jun 25, 2026

A displacement vector has components Dx = -4 m and Dy = +3 m. The quadrant in which this vector lies is the…

A. First Quadrant
B. Second Quadrant ✓
C. Third Quadrant
D. Fourth Quadrant
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Jun 25, 2026

A vector has a horizontal component of 6 units and a vertical component of 8 units. The magnitude of this vector is…

A. 14 units
B. 10 units ✓
C. 2 units
D. 48 units
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Jun 25, 2026
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