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

1 Answer

Jul 20, 2016

#||<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#.

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