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:

.