What is #|| <1, 6, -3 > - < 4, -2, -9 >||#?

1 Answer
Apr 13, 2017

Answer:

#||<<1, 6, -3>> - <<4, -2, -9>>|| = sqrt( 109 )#

Explanation:

Let:

# vec u = <<1, 6, -3>> - <<4, -2, -9>>#

First we will simplify the vector:

# vec u = <<(1)-(4), (6)-(-2), (-3)-(-9)>> #
# " " = <<-3, 8, 6>> #

Then we compute the norm:

# ||vec u|| = sqrt( (-3)^2+(8)^2+(6)^2) #
# " " = sqrt( 9+64+36 )#
# " " = sqrt( 109 )#