Answer to Question #59206 in Differential Equations for RITA

Question

6 If A=5t^2+tj−t^3k and B=sinti−costj. evaluate d/dt( A×B)
7 If A=5t^2+tj−t^3k and B=sinti − costj. evaluate d/dt (A⋅A)
8 If A= sin ui + cos uj + uk, B = cos ui − sin uj − 3k and C=2i+3j−k, evaluate d/du (A×(B×C)) at u=0
9 Let A=x^2yzi−2xz^3j−xz^2 and B=4zi+yj+4x^2k, find
∂^2/∂x∂y (A×B) at (1,0,-2)
10 solve
d^2A/dt^2 − 4dA/dt − 5A = 0