Exam-style question
Try this first
Which statement correctly describes the geometric interpretation of the 2-vector [2.0, 3.0]?.
- A.It is an arrow with its tail at the origin and its head at (2.0, 3.0).
- B.It is an arrow with its tail at (2.0, 3.0) and its head at the origin.
- C.It is an arrow with its tail at (2.0, 0) and its head at (0, 3.0).
- D.It represents only the point (3.0, 2.0), because vector entries are read in reverse order.
Model answer
What a good answer should say
- It is an arrow with its tail at the origin and its head at (2.0, 3.0).
Explanation
Why this works
A vector can represent a geometric point or an arrow. In this example, the arrow starts at the origin and ends at the point whose coordinates are the vector entries.
Common mistake
No common mistake is linked to this question yet.