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Eleventh Grade (Grade 11) Vectors Questions

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Grade 11 Vectors
What is the component form of the vector [math]vec(JK) ?[/math]
Coordinate Plane - 5x5 - With Dots
  1. [math]<<-4,4>>[/math]
  2. [math][[-4],[4]][/math]
  3. [math]4hat(i) - 4hat(j)[/math]
  4. [math]<<4,-4>>[/math]
Grade 11 Vectors
Let [math]vec(a) = 3hat(i) - 6hat(j), vec(b) = -hat(i) + 3hat(j).[/math] Find [math]3vec(a) + 2vec(b).[/math]
  1. [math]7hat(i) - 3hat(j)[/math]
  2. [math]2hat(i) - 3hat(j)[/math]
  3. [math]11hat(i) + 24hat(j)[/math]
  4. [math]7hat(i) - 12hat(j)[/math]
Grade 11 Vectors
Let [math] vec(n) = <<-6,-1>>, vec(m) = <<10,-10>>.[/math] Find [math] 2vec(m) - 5vec(n)[/math].
  1. [math]<<10, 25>>[/math]
  2. [math]<<-10, -25>>[/math]
  3. [math]<<50, -15>>[/math]
  4. [math]<<16, 9>>[/math]
Grade 11 Vectors
Write [math]vec(JO)[/math] as the sum of unit vectors for points J (6,-2) and O (-9, 5).
  1. [math]-3hati + 3hatj[/math]
  2. [math]-15hati + 7hatj[/math]
  3. [math]-1hati + -11hatj[/math]
  4. [math]15hati + -7hatj[/math]
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.5b
The vectors [math]4vec(n)[/math] and [math]-4vec(n)[/math]
  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.4c
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.5, HSN-VM.B.5b
The vectors [math]4vec(n)[/math] and [math]6vec(n)[/math]
  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
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]
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c
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]
Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c
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.4c
If vector [math]v = < -3,14 >[/math] and vector [math]w = < -8,8 >[/math], what is the result of [math]w - v[/math] ?
  1. [math]< 11,-22>[/math]
  2. [math]< 5,6 >[/math]
  3. [math]< -11,0 >[/math]
  4. [math]< -5,-6 >[/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]
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.5, HSN-VM.B.5a
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]
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]
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