Lesson Worksheet: Finding the Magnitude of a Vector Physics

In this worksheet, we will practice finding the magnitude of a vector given its horizontal and vertical components.

Q1:

Which of the vectors shown on the grid has the greatest magnitude?

  • AT
  • BQ
  • CR
  • DP
  • ES

Q2:

Which of the vectors shown on the grid has the greatest magnitude?

  • AR
  • BQ
  • CP
  • DS

Q3:

A vector v can be expressed as vij=3+4. What is the magnitude of the vector? Round your answer to 1 decimal place if necessary.

Q4:

A vector v can be expressed as vij=34. What is the magnitude of the vector? Round your answer to 1 decimal place if necessary.

Q5:

A vector v can be expressed as vij=3+4. What is the magnitude of the vector? Round your answer to 1 decimal place if necessary.

Q6:

An object moves with velocity 𝑣=(7.8+9.2)/ijms. What is the speed of the object? Give your answer to 1 decimal place.

Q7:

The vector shown in the diagram has a magnitude of 9.2. The horizontal component of the vector has a magnitude of 6. What is the magnitude of the vertical component of the vector, 𝑦? Round your answer to 1 decimal place.

Q8:

The diagram shows a vector on a grid. Each grid square has a side length of 1. What is the magnitude of the vector? Give your answer to 2 decimal places.

Q9:

The diagram shows a vector on a grid. Each grid square has a side length of 1. What is the magnitude of the vector? Give your answer to 2 decimal places.

Q10:

The vector shown in the diagram has a magnitude of 9.8. The vertical component of the vector has a magnitude of 4. What is the magnitude of the horizontal component of the vector, 𝑥? Round your answer to 1 decimal place.

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