Question

for what values of a are the given vectors orthogonal

u=<-4,a,3> , v=

Answer 1

take the dot product, set it equal to zero and solve for \(a\) is my guess

Answer 2

\[-4a+a^3+3a=0\] in other words

Answer 3

you good from there?

Answer 4

is that the dot product? that equation

Answer 5

\[<x_1,x_2,x_3>\cdot<y_1,y_2,y_3>=x_1y_3+x_2y_2+x_3y_3\]

Answer 6

well that was wrong

Answer 7

\[<x_1,x_2,x_3>\cdot<y_1,y_2,y_1>=x_1y_1+x_2y_2+x_3y_3\]

Answer 8

that's better

Answer 9

i thought this is how u calculate cross product

Answer 10

that is the cross product
but to determine if the vectors are orthogonal (perpendicular) you take the "dot product"