Lesson: Components of a Vector Mathematics • 12th Grade

In this lesson, we will learn how to find the components of a given two-dimensional vector.

Lesson Plan

Students will be able to

describe a set of components in terms of the numbers of units right/left and up/down, and vice versa,
find the components of a vector represented graphically,
identify the initial and terminal points of a vector,
understand the relation between vector components and initial and terminal points,
understand that equivalent vectors have equal corresponding components.

Lesson Presentation

Lesson Video

Lesson Explainer

Lesson Playlist

03:55
03:30
02:33

Lesson Worksheet

Q1:

Find the components of the vector shown on the grid of unit squares below.

Q2:

The components of the vector are as the terminal point of the vector is units right (2 units left) of the initial point and 1 unit up from the initial point. What are the components of the vector ?

Q3:

The components of the vector are as the terminal point of the vector is units right (1 unit left) of the initial point and units up (2 units down) from the initial point. What are the components of the vector ?