l Vectors Calculator

Enter vector A

A =

Enter vector B

B =   
                       
Determine the vector operation A ÷ B:

Rewrite our vectors in terms of coordinates:

(a1, a2, a3) = (12, 9, 6)
(b1, b2, b3) = (4, 3, 2)

Divide the respective vector components:

A ÷ B = (a1 ÷ b1 , a2 ÷ b2 , a3 ÷ b3 )
A ÷ B = (12 ÷ 4, 9 ÷ 3, 6 ÷ 2)
A ÷ B = (3, 3, 3)

Expresed in vector format, we have:

3
3
3
Calculate the length (magnitude) of A / B

Rewrite the vector in terms of coordinates:

(a / b1, a / b2, a / b3) = (3, 3, 3)

The formula for this is below:

||A / B|| = Square Root(a / b12 + a / b22 + a / b32)
||A / B|| = Square Root(32 + 32 + 32)
||A / B|| = √9 + 9 + 9
||A / B|| = √27
||A / B|| = 5.1961524227066