How do you plot #6-7i# and find its absolute value?

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Answer 1 · 2017-07-06T22:31:48

# |6-7i| = sqrt(85) = 9.219... #

Let:

# z = 6-7i #

Then:

# Re(z) =6 #
# Im(z) = -7 #

Thus #z# will be at coordinate #(6,-7)# on the argand plane.

enter image source here

We calculate the absolute value, or modulus, of the number as follows:

# |z| = |6-7i| #
# " " = sqrt(6^2+(-7)^2) #
# " " = sqrt(36+49) #
# " " = sqrt(85) #
# " " = 9.219... #