What is # || < 4 , -3 , -8 > || #?

1 Answer
Nov 15, 2016

Answer:

#|| < 4, -3, -8 > || = sqrt(89) ~~ 9.434#

Explanation:

In general we have:

#|| < a, b, c > || = sqrt(a^2+b^2+c^2)#

So in our example:

#|| < 4, -3, -8 > || = sqrt(4^2+(-3)^2+(-8)^2)#

#color(white)(|| < 4, -3, -8 > ||) = sqrt(16+9+64)#

#color(white)(|| < 4, -3, -8 > ||) = sqrt(89) ~~ 9.434#