Vectors Calculator

Determine the vector operation A + B:

Rewrite our vectors in terms of coordinates:

(a₁, a₂, a₃) = (1, 2, 3)
(b₁, b₂, b₃) = (4, 5, 6)

Add the respective vector components:

A + B = (a₁ + b₁ , a₂ + b₂ , a₃ + b₃ )
A + B = (1 + 4, 2 + 5, 3 + 6)
A + B = (5, 7, 9)

Expresed in vector format, we have:

5

7

9

Calculate the length (magnitude) of A + B

Rewrite the vector in terms of coordinates:

(a + b₁, a + b₂, a + b₃) = (5, 7, 9)

The formula for this is below:

||A + B|| = Square Root(a + b₁² + a + b₂² + a + b₃²)
||A + B|| = Square Root(5² + 7² + 9²)
||A + B|| = √25 + 49 + 81
||A + B|| = √155
||A + B|| = 12.449899597989