Question

How do you find the magnitude <3.5, 12>?

Answer 1

`||<3,5,12>||=sqrt178~=13.34`.

Explanation:

The magnitude of a vector `vecx=(x_1,x_2,x_3)` is denoted by

`||vecx||` and is defined by,

`||vecx||=sqrt(x_1^2+x_2^2+x_3^2)`

Hence, `||<3,5,12>||=sqrt(9+25+144)=sqrt178~=13.34`.