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?

1 Answer
Ratnaker Mehta
Jul 14, 2016

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

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