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Vectors Questions - All Grades

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Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5a
For β†’v=〈-3,8βŒͺ, which of the following is equal to -3β†’v?
  1. 〈-6,8βŒͺ
  2. 〈-9,8βŒͺ
  3. 〈9,-24βŒͺ
  4. 〈-27,24βŒͺ
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
Evaluate. 〈-4,6βŒͺ+〈-3,4βŒͺ
  1. 〈2,1βŒͺ
  2. 〈-1,10βŒͺ
  3. 〈-1,2βŒͺ
  4. 〈-7,10βŒͺ
Grade 11 Vectors CCSS: HSN-VM.A.1
Which of the following are examples of vectors? Choose all that apply.
  1. The velocity of a baseball thrown from fist base to second base.
  2. The amount of friction force acting against a pulled sled.
  3. The mass of a zebra.
  4. The direction of a car heading from San Francisco to Boston.
Grade 12 Vectors CCSS: HSN-VM.A.2
What are the components of a vector that has an initial point of (-1,3) and a terminal point of (8,11)?
  1. 〈9,8βŒͺ
  2. 〈7,14βŒͺ
  3. 〈2,19βŒͺ
  4. 〈-9,-8βŒͺ
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5b
The vectors 4β†’n and 6β†’n
  1. have nothing in common.
  2. have the same direction.
  3. have the same start point.
  4. have the same magnitude.
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c
Which of the following is the additive inverse of β†’v=〈-4,6βŒͺ?
  1. 〈4,6βŒͺ
  2. 〈14,-16βŒͺ
  3. 〈-14,16βŒͺ
  4. 〈4,-6βŒͺ
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c
Which of the following are equivalent to β†’a-β†’b? Choose all that apply.
  1. β†’a+(-β†’b)
  2. β†’b-β†’a
  3. -β†’a+β†’b
  4. -β†’b+β†’a
Grade 11 Vectors CCSS: HSN-VM.A.1
Which of the following would correctly describe a vector defined by points J and I? Choose all that apply.
Coordinate Plane - 5x5 - With Dots
  1. The line segment Β―JI.
  2. The line ↔JI.
  3. The line segment Β―JI, starting at point J.
  4. The line segment Β―JI, heading in a downward-negative direction.
Grade 11 Vectors CCSS: HSN-VM.A.2
What is the component form of the vector β†’JK?
Coordinate Plane - 5x5 - With Dots
  1. 〈-4,4βŒͺ
  2. [-44]
  3. 4Λ†i-4Λ†j
  4. 〈4,-4βŒͺ
Grade 11 Vectors CCSS: HSN-VM.B.5b
The vectors 4β†’n and -4β†’n
  1. have nothing in common.
  2. have the opposite direction.
  3. have the same direction.
  4. have the opposite magnitude.
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector β†’m=〈1,8βŒͺ and vector β†’n=〈4,7βŒͺ, what is the result of β†’m+β†’n ?
  1. 〈5,15βŒͺ
  2. 〈3,-1βŒͺ
  3. 〈3,1βŒͺ
  4. 〈9,11βŒͺ
Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5b
For a given vector, β†’v, and scalar multiple a, a<0, which of the following statements is correct?
  1. The direction of a β†’v is the same as the direction of β†’v.
  2. The direction of a β†’v is opposite to that of β†’v.
  3. The direction of the two vectors is different, but it is impossible to tell how they are different.
  4. The direction of the two vectors is different, but the difference will be less than 180Β°.
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