Question

Vector B has x, y, and x components of 5.5, 7.1, and 1.4 units, respectively. How do you calculate the magnitude of vector B?

Answer 1

`sqrt82.62~=9.09`

Explanation:

If vector B, denoted by `vecB=(b_1,b_2,b_3)`, then its manitude,

denoted by `||vecB||`, is defined by,

`||vecB||=sqrt(b_1^2+b_2^2+b_3^2)`

In our case, `||vecB||=sqrt{5.5^2+7.1^2+1.4^2}=sqrt(30.25+50.41+1.96)=sqrt82.62~=9.09`