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Common Core Standard HSN-VM.B.4a Questions

Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.

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Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector [math]vec(m) = << -2,4 >>[/math] and vector [math]vec(n) = << 6,-8 >>[/math], what is the result of [math]vec(m) + vec(n)[/math] ?
  1. [math]<< -6,14 >>[/math]
  2. [math]<< -8,12 >>[/math]
  3. [math]<< 2,-2 >>[/math]
  4. [math]<< 4,-4 >>[/math]
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector [math]vec(v) = << 13,28 >>[/math] and vector [math]vec(w) = << 6,14 >>[/math], what is the result of [math]vec(v) + vec(w)[/math] ?
  1. [math]<< -15,-8 >>[/math]
  2. [math]<< -7,-14 >>[/math]
  3. [math]<< 7,14 >>[/math]
  4. [math]<< 19,42 >>[/math]
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector [math]vec(m) = << 1,8 >>[/math] and vector [math]vec(n) = << 4,7 >>[/math], what is the result of [math]vec(m) + vec(n)[/math] ?
  1. [math]<< 5,15 >>[/math]
  2. [math]<< 3,-1 >>[/math]
  3. [math]<< 3,1 >>[/math]
  4. [math]<< 9,11 >>[/math]
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector [math]t = < 13,28 >[/math] and vector [math]r = < -13,-28 >[/math], what is the result of [math]t + r[/math] ?
  1. [math]< -26,-56 >[/math]
  2. [math]< 0,0 >[/math]
  3. [math]< 26,56 >[/math]
  4. [math]< 41,-41 >[/math]
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a
If vector [math]vec(t) = << 13,28 >>[/math] and vector [math]vec(r) = << -13,-28 >>[/math], what is the result of [math]vec(r) +vec(t)[/math] ?
  1. [math]<< -26,-56 >>[/math]
  2. [math]<< 0,0 >>[/math]
  3. [math]<< 26,56 >>[/math]
  4. [math]<< 41,-41 >>[/math]

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