Question

Consider the vector functions
X(t)=3I+cos(6 t)J, Y(t)=sin(8 t)J+8K.
Let
Z(t)=X(t)×Y(t).
Then
[(dZ)/dt](t)=??? I+??? J+??? K.

Answer 1

i j k
3 cos(6t) 0
0 sin(8t) 8
x(t)Xy(t)=i(8cos(6t))-0)+j(0-24)+k(3sin(8t))
[dZ/dt](t)=(-48sin(6t))i+(24cos(8t))k

Answer 2

thanks so much ! helped a lot

Answer 3

welcome