Mon Prof Augmenté
Arrows and Aligned Dots
Age 15 · Maths
Two vectors can have the same direction or opposite direction, with one length a real multiple of the other. This same relationship appears when points lie on one straight line or when lines run parallel.
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Age 15: open this week
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In the picture
- The longer arrow: same direction as the shorter arrow and twice its length
- The shorter arrow: a unit reference arrow in the same direction
- The middle dot: lies on the straight dashed line between the outer dots
- The dashed line: one straight path through all three dots
Examples
- A hiker walks 1 km east, then another hiker walks 2 km east along the same straight path.
- Two cars travel along parallel lanes in the same direction; their velocity arrows are parallel.
Key takeaways
- Two vectors are collinear when one is a real multiple of the other.
- Collinear vectors can point the same or opposite way and are parallel or along the same line.
Quiz: Arrows and Aligned Dots (Age 15)
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Two vectors are collinear exactly when which condition holds?
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How can two collinear vectors point?
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Which geometric situations are linked to collinear vectors?
The answers, each with its explanation, are in the app. This lesson has left the free week, so its quiz is part of the subscription.
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