Grade 11 · Science · Physics

11th grade Add vectors and split them into parts worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Add vectors and split them into parts

Grade 11 Science Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

A drone flies 3 m east, then 4 m north. How far is it from where it started, Ari?
A drone flies 6 m east, then 8 m north. How far is it from where it started, Bo?
A drone flies 5 m east, then 12 m north. How far is it from where it started, Esme?
4.
In the arrow grid, how long is arrow R, Kira?
- 7 m
- 1 m
- 5 m
5.
A force F points at angle θ above the +x axis. What is its x-component, Milo?
- F sin θ
- F tan θ
- F cos θ
6.
A force F points at angle θ above the +x axis. What is its y-component, Noah?
- F sin θ
- F cos θ
- F ÷ θ
7.
A 9 N force points straight north. What is its x-component, Pia?
- 4.5 N
- 9 N
- 0 N
8.
A drone flies 3 m east, then 4 m north. Which way does its displacement point, Ren?
- Straight north
- Straight east
- Between east and north
9.
For 3 m east plus 4 m north, which gives tan θ, with θ measured from east, Tala?
- 3 ÷ 4
- 4 ÷ 5
- 4 ÷ 3
10.
A drone flies 6 m east, then 6 m north. At what angle north of east is its displacement, Zee?
- 60°
- 90°
- 45°

Add vectors and split them into parts. Every version has 10 questions, and the answer key prints on the second page.

I can add vectors tip to tail. I can find the size of a right-angle sum with the Pythagorean theorem and its direction with tan θ.
I can split a vector into components, x = F cos θ and y = F sin θ (angle from +x), and read components off a grid.
I can add vectors by components, keeping signs.
I can work through a boat crossing a river or a drone in the wind. I can find the drift, the speed over the ground and the heading needed to land straight across.

Standard: supports HS-PS2-1

resultant: The single vector that equals two or more vectors added

tip to tail: Start the next arrow where the last one ends

component: The part of a vector along x or along y

magnitude: A vector's size: √(x² + y²)

heading: The direction a boat or drone points

Your child added the sizes of two vectors at an angle. Vectors at right angles combine by the Pythagorean theorem, not by adding.

Your child swapped sine and cosine. With the angle measured from the x-axis, the x-part uses cosine and the y-part uses sine.

Your child swapped the x and y parts. x runs across (east), y runs up (north); read each from its own axis.

What is the most common mistake with add vectors and split them into parts?

Your child added the sizes of two vectors at an angle. Vectors at right angles combine by the Pythagorean theorem, not by adding.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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