Question

Evaluate the dot product of (8,4) and (-3,5)

Answer 1

ANSWER

$\bullet< - 3,5> = - 4$

EXPLANATION

The dot product of two vectors:

$< a,b >$

and

$< c,d>$

is

$< a,b > \bullet< c,d> = ac + bd$

The given vectors are:

and

$< - 3,5>$

The dot product of these vectors is

$\bullet< - 3,5> = 8 \times - 3 + 4 \times 5$

$\bullet< - 3,5> = - 24 + 20$

$\bullet< - 3,5> = - 4$