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

1 Answer
George C.
Nov 15, 2016

|| < 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

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