- Math Lessons
- >
- Linear Algebra
- >
- Vectors
- >
- Basic Operations
Linear Algebra - Vectors: (lesson 1 of 3)
Basic Operations with Vectors
Adding vectors
Example 1:
Vectors v and u are given by their components as follows u = ( -2 , 3, 4) and v = ( 4 , 6, 1) . Find u + v.
Solution:
Subtracting vectors
Example 2:
Vectors v and u are given by their components as follows u = ( -2 , 3, 4 ) and v = ( 4 , 6, 1) . Find u - v.
Solution:
Multiplication by scalars:
Example 3:
Vector u are given by their components as follows u = ( -2 , 3, 4). Find 7u.
Solution:
Vector magnitude
Example 4:
Vector u are given by their components as follows u = ( -2 , 3, 4). Find the magnitude of the vector u.
Note: The magnitude of vector
is
.
Solution:
.