Math Calculators, Lessons and Formulas

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Linear Algebra - Vectors: (lesson 1 of 3)

Basic Operations with 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:

.