Question

Evaluate the dot product of (2,4) and (1,2)

Answer 1

ANSWER

The dot product is 10.

EXPLANATION

The given vectors are (2,4) and (1,2).

If we have the vectors

u=(a,b) and v=(c,d)

Then the dot product of the two vectors is given by

$u \bullet \: v = ac + bd$

This implies that,

$(2,4) \bullet(1,2) = 2 \times 1 + 4 \times 2$

This simplifies to;

$(2,4) \bullet(1,2) = 2 + 8 = 10$