Vectors Practice
Quantitative Skills · Advanced Tools
New numbers every set.
Choose one skill for 8 questions, or Mixed review for 12. Every set has new numbers.
No timer. Use scratch paper and a calculator in degree mode. The rules from the lesson are below.
Your set is complete
Results by topic
Reference
Vector rules
- A scalar has a size only, like 15 kg or 15 m/s. A vector has a magnitude and a direction, like 15 N upward. Speed is a scalar, and velocity is a vector.
- An arrow shows a vector. Its length shows the magnitude with a scale, like 1 square = 10 N, and it points from its tail to its tip.
- Tip to tail: the resultant R runs from the first vector's tail to the last vector's tip. The order does not matter.
- Same direction: add the magnitudes. Opposite directions: subtract, and use the direction of the larger one.
- Perpendicular: R = √(A² + B²). Find the direction with tan⁻¹ and state it like 53° north of east.
- Components, with θ measured from the horizontal: Rx = R cos θ and Ry = R sin θ. If θ is measured from the vertical, sin and cos switch.
Practice for the Vectors lesson in Quantitative Skills. Original ZornScience questions.
About this activity
Tell scalars from vectors, add vectors in a line and at right angles, and find components. Every set has new numbers, and each answer gets feedback right away.
Related lessons
- VectorsQuantitative Skills
- Vector ComponentsPhysics
- Trigonometry BasicsQuantitative Skills