What is #|| <-3, 6 , 8 > - <5, -2 , 7 > ||#?

1 Answer
Aritra G.
Jun 3, 2017

When subtracting two vectors you subtract the respective components.

Hence, #(-3,6,8) - (5,-2,7) = (-3-5,6+2,8-7)#

This gives #(-3,6,8) - (5,-2,7) = (-8,8,1)#

Then taking the modulus,

#|(-8,8,1)| = (8^2 + 8^2 + 1^2)^(1/2)#

Which is, #(64 + 64 + 1)^(1/2) = 11.35#

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