- Home
- Grade 12 Math
- Vectors
Unit vector
- Intro Lesson12:16
- Lesson: 14:33
- Lesson: 28:25
- Lesson: 35:25
- Lesson: 45:31
Unit vector
In this section, we will learn what is a unit vector, which literally refers to a vector with magnitude of 1 unit. We will practice on calculating a unit vector as well as exploring how this concept relates to the basic unit vectors that are found in vectors represented in rectangular form.
Basic Concepts: Pythagorean theorem, Converting radicals to mixed radicals, Rationalize the denominator
Related Concepts: Multiplying and dividing complex numbers
Lessons
Unit Vector = a vector with a magnitude of 1
Given vector v, the unit vector in the direction of vector v is obtained as follows:
u^=∣∣v∣∣v
where ∣∣u^∣∣=1
Given vector v, the unit vector in the direction of vector v is obtained as follows:
u^=∣∣v∣∣v
where ∣∣u^∣∣=1
- IntroductionIntroduction to Unit Vectors
- 1.Find the unit vector of a=<6,−8>, and verify
- 2.What is a unit vector which has the same direction as b=3i+4j?
- 3.Given v=<10,−3> and w=<−6,8>,a)find v+wb)find the unit vector of the resultant vector
- 4.Given v=<−5,6> and w=<7,4>,a)find v−wb)find the unit vector of the resultant vector