Want to see correct answers?
Login or join for free!
  Algebra Worksheets
Looking for Algebra worksheets?
Check out our pre-made Algebra worksheets!
Share/Like This Page
Filter By Grade

Grade 11 Grade 12

Browse Questions

Vectors Questions - All Grades

You can create printable tests and worksheets from these Vectors questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Previous Page 4 of 7 Next
Grade 11 Vectors CCSS: HSN-VM.A.3, HSN-VM.B.4, HSN-VM.B.4b
Two boats are pulling a very large, derelict boat behind them. One boat is exerting a force of 1.1×106 N on the derelict boat in the direction S10°W. The second boat is pulling with a force of 1.3×106 N in the direction S5°E. What is the resulting force acting on the derelict boat and in what direction? Round answers to the nearest whole unit.
  1. The resulting force is 1.4×106 N, in the direction S7°E.
  2. The resulting force is 2.4×106 N, in the direction S2°W.
  3. The resulting force is 3.7×105 N, in the direction S8°W.
  4. The resulting force is 1.6×106 N, in the direction S2°E.
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4b
If →v has magnitude of 8 and direction 200°, and →w has magnitude of 10 and direction 265°, what is the magnitude and direction of →v+→w?
  1. Magnitude 9.8, direction 36.5°.
  2. Magnitude 3.7, direction 163.5°.
  3. Magnitude 15.2, direction 236.5°.
  4. Magnitude 12.2, direction 213.9°.
Grade 11 Vectors CCSS: HSN-VM.A.2

This question is a part of a group with common instructions. View group »

What are the components of →CH?
  1. 〈-4,0〉
  2. 〈4,0〉
  3. 〈-4,1〉
  4. 〈-4,4〉
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector →v=〈13,28〉 and vector →w=〈6,14〉, what is the result of →v+→w ?
  1. 〈-15,-8〉
  2. 〈-7,-14〉
  3. 〈7,14〉
  4. 〈19,42〉
Grade 11 Vectors
Selena is flying an airplane in the Powder Puff Derby Air Race with an airspeed of magnitude 180 mph but her GPS shows a ground speed of magnitude 210 mph. The wind is
  1. acting as a positive scalar.
  2. having no effect.
  3. acting as a negative scalar.
  4. acting as a double scalar.
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5b
Which of the following statements is true if →v is a non-zero vector, a is a scalar such that a<-1, and →w=a→v?
  1. ||→w||=||a→v||
  2. ||→w||<||a→v||
  3. ||→w||>||a→v||
  4. ||→w||=-||→v||
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a

This question is a part of a group with common instructions. View group »

Considering right triangle CDE, how is the magnitude of →EC related to θ and the length of ¯ED?
  1. ED=||→EC||cosθ
  2. ED=||→EC||sinθ
  3. ||→EC||=EDcosθ
  4. tanθ=||→EC||ED
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c
If vector →t=〈13,28〉 and vector →r=〈-13,-28〉, what is the result of →r-→t ?
  1. 〈-26,-56〉
  2. 〈0,0〉
  3. 〈26,56〉
  4. 〈41,-41〉
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
Write →JO as the sum of unit vectors for points J (6,-2) and O (-9, 5).
  1. -3ˆi+3ˆj
  2. -15ˆi+7ˆj
  3. -1ˆi+-11ˆj
  4. 15ˆi+-7ˆj
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5b
For the vectors →n and →m, ||a →n||=||→m|| for scalar a, where a can be any non-zero real number. Which of the following statements must be true?
  1. The two vectors have the same direction.
  2. The two vectors have the opposite direction.
  3. The ratio of the magnitudes of →m to →n is a to 1.
  4. The two vectors are equal.
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5b
For vectors →n=6→v and →m=-12→v, which of the following statements are correct? Choose all correct answers.
  1. The vectors have opposite directions.
  2. -2||→n||=||→m||
  3. Both vectors are in the same direction as →v.
  4. The magnitude of →m is twice that of →n.
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5b
If ||5→u||=15, what is the value of ||→u||?
  1. 3
  2. 5
  3. 10
  4. Not enough information to determine.
Previous Page 4 of 7 Next