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

1 Answer
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)(3,6,8)(5,2,7)=(35,6+2,87)

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