How do you compute the dot product for #<0, 3>*<4, -2>#?

1 Answer
Jan 13, 2017

Answer:

# << 0,3 >> * << 4,-2 >> = -6#

Explanation:

Inner Product Definition
If # ulu = <<(u_1, u_2)>> #, and # ulv = <<(v_1, v_2)>> #, then the inner product (or dot product), a scaler quantity, is given by:

# ulu * ulv = u_1v_1 + u_2v_2 #
Inner Product = 0 #hArr# vectors are perpendicular

So, # ulu=3ulhatj#, and #ulv=4ulhati-2ulhatj#

Then the inner product is given by;

# ulu * ulv = << 0,3 >> * << 4,-2 >> #
# " "= (0)(4) + (3)(-2)#
# " "= 0-6#
# " "= -6#