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Vectors in the plane

Mathematics — first biennium · Lesson

Biennium · Scientific profile

Vectors in the plane

A vector in the plane has two components. Adding vectors means adding corresponding components separately.

Key idea
Formula matematica
Similar example
Formula matematica

Prerequisites: Coordinates and distance

Goal: Represent vectors by components and add them in the plane.

What you need to know before the exercises

In this lesson: Represent vectors by components and add them in the plane.

New concept: A vector in the plane describes displacement, direction and orientation. Its components (vx,vy) give the horizontal and vertical displacement; vectors with the same components are equal even when drawn in different positions.

How to proceed: Keep the two directions separate: add horizontal components first, then vertical components.

You can already assume: Coordinates and distance.

Try it now

Calculate the vector sum and interpret its components.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

Keep the two directions separate: add horizontal components first, then vertical components.

Data / situation: u=(-4,-2), v=(-3,-3)

Your competency map

What you need to know for Vectors in the plane

ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.

Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

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