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Operations on Vectors (Grades 11-12)

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Operations on Vectors

1. 
If [math]vec(u)=<< -3,6 >>[/math], what is the value of [math]5vec(u)[/math]?
  1. [math]<< -15,30 >>[/math]
  2. [math]<< 15,-30>>[/math]
  3. [math]<< 2,11 >>[/math]
  4. [math]<< -8,1 >>[/math]
2. 
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]
3. 
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]
4. 
If vector [math]vec(v) = << -3,14 >>[/math] and vector [math]vec(w) = << -8,8 >>[/math], what is the result of [math]vec(v) - vec(w)[/math] ?
  1. [math]<< -11,22>>[/math]
  2. [math]<< 5,6 >>[/math]
  3. [math]<< 11,0 >>[/math]
  4. [math]<< -17,-16 >>[/math]
5. 
If you multiply [math]vec(u)=<< 4,-6 >>[/math] by a scalar and the result is [math]vec(u)=<< 8,-12 >>[/math], what is the scalar?
  1. [math]4[/math]
  2. [math]2[/math]
  3. [math]-6[/math]
  4. [math]1/2[/math]
6. 
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]
7. 
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]
8. 
If [math]vec(u)=<< 5,8 >>[/math], what is the value of [math]2vec(u)[/math]?
  1. [math]<<3,6>>[/math]
  2. [math]<<2.5,4>>[/math]
  3. [math]<< 10,16>>[/math]
  4. [math]<<7,10>>[/math]
9. 
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]
10. 
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]
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