What is the dot product of #<-5,2,8 ># and #<-1,6,2 >#? Physics 2D Motion Vector Operations 1 Answer Narad T. Aug 22, 2017 The answer is #=33# Explanation: The dot product of #2# vectors, #veca= < x_1, x_2, x_3> # and #vecb = < y_1, y_2, y_3># is #veca.vecb=< x_1, x_2, x_3>.< y_1, y_2, y_3># #=x_1y_1+x_2y_2+x_3y_3# Therefore, #< -5, 2, 8>.< -1, 6, 2> = (-5*-1)+(2*6)+(8*2)# #=5+12+16=33# Answer link Related questions What are vectors used for? Why vectors cannot be added algebraically? How do we represent the magnitude of a vector in physics? How do you find the equation of a vector orthogonal to a plane? Why are vectors important? How does a vector quantity differ from a scalar quantity? How can I calculate the magnitude of vectors? How do vectors subtract graphically? How do force vectors affect an object in motion? How can vectors be represented? See all questions in Vector Operations Impact of this question 1292 views around the world You can reuse this answer Creative Commons License