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Quiz

Year 2: Vectors and geometry in space

10 questions with solutions for year 2: vectors, magnitude, adding and multiplying by a number, applications, axioms, relative position of a line and a plane, of two planes and of two lines.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. a⃗ = (3, 4). What is |a⃗|?

2. a⃗ = (2, −1), b⃗ = (1, 5). a⃗ + b⃗ = ?

3. 3 · (2, −1) = ?

4. A(1, 2), B(4, 6). What is the length of AB⃗?

5. The sum of two opposite vectors is:

6. How many non-collinear points determine a plane?

7. Two different planes in space:

8. A line and a plane have exactly one common point. The line:

9. Two lines in space that neither meet nor are parallel are:

10. Cube ABCDA₁B₁C₁D₁. How many edges are skew to the edge AB?