BUZZO

Grade 11 · Geometry

Geometry quiz for grade 11: Coordinates and vectors in space

This quiz helps revise “Coordinates and vectors in space” in Geometry for grade 11. It has 25 questions in five categories: Point Coordinates, Vector from A to B, Vector Operations, Dot Product, Applications. Questions get harder as the points go up, from 100 to 500.

  • For ages 16–17
  • 25 questions · 5 categories

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Buzzo quiz: Coordinates and vectors in space

A peek at the questions

The 100- and 200-point questions are open here. The rest show only their first words, and there are no answers: all of that is in the game itself.

Point Coordinates

  1. 100

    What are the coordinates of the origin in a three-dimensional Cartesian coordinate system?

  2. 200Picture for the question

    Find the midpoint of the segment with endpoints A(2, -4, 6) and B(8, 2, -2).

  3. 300

    What is the distance…

    In the game
  4. 400

    Which coordinate plane contains…

    In the game
  5. 500

    M(2, -1, 4) is…

    In the game

Vector from A to B

  1. 100

    Find vector AB if A(1, 2, 3) and B(4, 0, 5).

  2. 200Picture for the question

    What is the magnitude of vector a=(2, -3, 6)?

  3. 300

    A(-2, 1, 4) and…

    In the game
  4. 400

    Find the magnitude of…

    In the game
  5. 500

    AB=CD. A(2, -1, 3)…

    In the game

Vector Operations

  1. 100Picture for the question

    a=(1, -2, 3), b=(4, 2, -1). Find a+b.

  2. 200

    a=(3, -1, 2), b=(1, 4, -2). Find a-b.

  3. 300

    a=(-1, 3…

    In the game
  4. 400

    a=(1, 2, -1), b=(-3…

    In the game
  5. 500

    Vectors a=(2, -1, 3)…

    In the game

Dot Product

  1. 100

    Compute the dot product a·b for a=(1, 2, 3) and b=(2, 0, -1).

  2. 200

    How are the nonzero vectors a=(1, 1, 0) and b=(1, -1, 0) related?

  3. 300

    Find the angle between…

    In the game
  4. 400

    For what value of…

    In the game
  5. 500

    If |a|=3, |b|=4, and…

    In the game

Applications

  1. 100Picture for the question

    A drone moves by vector (5, 12, 0) meters. How far does it travel in a straight line?

  2. 200

    A robot moves by a=(2, 1, 0) meters, then by b=(-1, 3, 2) meters. What is its total displacement?

  3. 300

    A boat has velocity…

    In the game
  4. 400

    A force F=(2, 3…

    In the game
  5. 500

    A(0, 0, 0), B(1…

    In the game

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All 25 questions and the answers are in the game. Invite your class or friends with a link — guests need no account.

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How it works

  1. Pick a quiz and press “Play”.
  2. Send students or friends the link — they join from a phone or a computer.
  3. Choose questions on the board, buzz in first and collect points.

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