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Vectors Questions - All Grades

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Grade 12 Vectors CCSS: HSN-VM.A.1
What is the magnitude of a vector with points [math](-2,5)[/math] and [math](4,13) ?[/math]
  1. [math]10[/math]
  2. [math]5[/math]
  3. [math]sqrt(7)[/math]
  4. [math]sqrt(14)[/math]
Grade 11 Vectors CCSS: HSN-VM.A.2
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 12 Vectors CCSS: HSN-VM.A.1
Two vectors with the same direction are equal.
  1. They are always equal.
  2. They are never equal.
  3. It depends on their magnitude.
  4. It depends on their end point.
Grade 12 Vectors CCSS: HSN-VM.A.1
Two vectors with the same magnitude are equal.
  1. They are always equal.
  2. They are never equal.
  3. It depends on their direction.
  4. It depends on their initial point.
Grade 12 Vectors CCSS: HSN-VM.A.2
What are the components of a vector that has an initial point of [math](-1,3)[/math] and a terminal point of [math](8,11)[/math]?
  1. [math]<< 9, 8 >>[/math]
  2. [math]<< 7, 14 >>[/math]
  3. [math]<< 2, 19 >>[/math]
  4. [math]<< -9, -8 >>[/math]
Grade 12 Vectors CCSS: HSN-VM.A.2
What are the components of a vector that has an initial point of [math](1,-3)[/math] and a terminal point of [math](6,19)[/math]?
  1. [math]<<-5, -22>>[/math]
  2. [math]<<5, 22>>[/math]
  3. [math]<<3, 20>>[/math]
  4. [math]<<-2, 25>>[/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.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.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} = < -3,14 >[/math] and vector [math]vec{w} = < -8,8 >[/math], what is the result of [math]vec{w} - vec{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(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 12 Vectors CCSS: HSN-VM.A.2
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
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]
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