Question

find the inner product of a and b if a=<4,-2,-2> and b=<-7,-2,4>, and state whether the vectors are perpendicular

Answer 1

so its -32?

Answer 2

$$
\Large \bf \vec{a} ~\cdot \vec{b} = a1*b1 + a2*b2 + a3*b3

$$

Answer 3

correct

Answer 4

thanks and i have one more question

Answer 5

and are they perpendicular?

Answer 6

same deal :)

Answer 7

so yes to perpendicular ?

Answer 8

Two vectors are perpendicular iff the dot product is equal to zero. since it is not zero, not perpendicular

Answer 9

ow thanks

Answer 10

$$ \LARGE \bf \vec{a} ~\perp \vec{b} ~\Leftrightarrow~ \bf \vec{a} ~\cdot \vec{b} = 0 $$