Magnitude of a vector

Lesson: 1a
5:08
Lesson: 1b
3:11
Lesson: 2a
2:58
Lesson: 2b
2:29
Lesson: 3a
2:11
Lesson: 3b
2:42
Lesson: 3c
1:58
Lesson: 4
4:14

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Magnitude of a vector

Finding the magnitude of a vector is very much the same as determining the length of the hypotenuse of a right triangle – we almost use the exact Pythagorean formula! In this section, we will learn how the horizontal component and the vertical component enable us to algebraically calculate the magnitude of a vector.

Basic Concepts: Pythagorean theorem, Horizontal and vertical distances

Lessons

Magnitude of a vector

|| \vec{v}||=\sqrt{v^2_x+v^2_y}

1.
Find the magnitude of the following vectors:

a)
$\vec{p}$

b)
$\vec{q}$

2.
Find the magnitude of the following vectors:

a)
$\vec{r}$

b)
$\vec{s}$

3.
Find the magnitude of the following vectors:
a)
$\vec{m}=$ < $3,-1$ >

b)

c)

4.
Given that the vector $\vec{v}$ has its initial point at (2,1) and its terminal point at (6,-4), find the magnitude of the vector $\vec{v}$

Magnitude of a vector

Magnitude of a vector

Lessons

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