What is the dot product of $< 5, - 3, 6 >$ $<5,-3,6 >$ and $< - 8, 2, - 9 >$ $<-8,2,-9 >$ ?

Question

1437 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-06T11:48:00

$- 100$ $-100$

the dot product of two vectors

$veca=((a_1),(a_2),(a_3)), &vecb=((b_1),(b_2),(b_3)),$

can be calculated by the result

$veca.vecb=a_1b_1+a_2b_2+a_3b_3$

in this case we have

$veca=((5),(-3),(6)), &vecb=((-8),(2),(-9)),$

$veca.vecb=5xx(-8)+(-3)xx2+6xx(-9)$

$veca.vecb=-40-6-54=-100$

What is the dot product of <5,-3,6 ><5,−3,6><5,-3,6 > and <-8,2,-9 ><−8,2,−9><-8,2,-9 >?