What is the dot product of #<7,-3, 9 ># and #<4,2,-9 >#?

1 Answer
Jul 27, 2016

Answer:

#A*B=-59#

Explanation:

#A= (A_x,A_y,A_z )#

#B=(B_x,B_y,B_z )#

#A.B=(A_x*B_x+A_y*B_y+A_z*B_z)" (Dot product of A and B)"#

#A=<7,-3,9>" ; "B= <4,2,-9>#

#A_x=7" ; "A_y=-3" ; "A_z=9#

#B_x=4" ; "B_y=2" ; "B_z=-9#

#A*B=(7*4+(-3)*2+(-9)*9)#

#A*B=(28-6-81)#

#A*B=28-87#

#A*B=-59#