Solve the following problems with mathematica
1) Given a = [3,2,0] = 3i +2j ; b = [-4,6,0] = 4i +6j ; c = [5,-1,8] = 5i - j +8k ; d = [0,0,4] = 4k
find: A) 7(c-b), 7c-7b B) 9/2a - 3c , 9(1/2a - 1/3c)
Plot the final vectors. Note: must use mathematica to solve.
2) Given a = [1,1,0] ; b = [3,2,1] ; c = [1,0,2] ;
find: A) b, c B) a + c , b + c
Note: must use mathematica to solve.
3) Given a = [2,1,0] ; b = [-3,2,0] ; c = [1,4,-2] ; d = [5,-1,3]
find: A) a x b , b x a , a . b B) 3c x 5d , 15d x c , 15d . c , 15c . d C) ( a + d) x (d + a) D) (b x c) . d , b . (c x d) E) (a - b c - b d - b) , (a c d) F) b x b , (b - c) x ( c - b) , b . b
Note: must use mathematica to solve.