For #vecu = <3, -1># and #vecv = <2,4>#, what is #vecu*vecv#?

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Answer 1 · 2015-12-13T05:51:47

#vecucdotvecv# is a dot product between vectors #vecu# and #vecv#, and the result is a scalar.

A dot product can be defined like so.

Let:

#vecu = << a,b >>#
#vecv = << c,d >>#

#vecucdotvecv = axxc + bxxd#

where #xx# is just a regular multiplication sign (not a cross product).

Therefore, what you get is:

#= 3*2 + (-1*4) = 6 - 4 = color(blue)(2)#