## Unit Vector

Discussions for the Core part of the syllabus. Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths HL Revision Notes

### Unit Vector

Vectors, Unit Vector - IB Maths HL

If $v= \begin{pmatrix} -2 \\ 3 \\ 5 \end{pmatrix}$

How can we find the unit vector of vector $v$ ?

Thanks
lora

Posts: 0
Joined: Wed Apr 10, 2013 7:36 pm

### Re: Unit Vector

IB Maths HL – Vectors, Unit Vector

The unit vector of a vector $v$ is defined as following

$\hat{v}= \frac{v}{|v|}$

$v= \begin{pmatrix} -2 \\ 3 \\ 5 \end{pmatrix}$

and

$|v|= \sqrt{(-2)^2 +(3)^2+(5)^2}=\sqrt{38}$

Therefore,

$\hat{v}= \frac{1}{\sqrt{38}} \begin{pmatrix} -2 \\ 3 \\ 5 \end{pmatrix}$

Hope these help!!
lily

Posts: 0
Joined: Mon Jan 28, 2013 8:04 pm

### Re: Unit Vector

Thanks Lily!!
lora

Posts: 0
Joined: Wed Apr 10, 2013 7:36 pm