Respuesta :

Answer:

Step-by-step explanation:

a = 2i + 3j + zk

b = xi + 1j + 4k

Given a X b = 6i -14j +5k

a X  b  = | i   j   k|

              |2  3   z|

              |x   1    4|

a X b = i(12-z) - j(8 - xz) + k(2-3x) = 6i -14j +5k

equate the coefficients of i , j and k

12- z = 6;  implies z = 6

8 - xz = -14 implies 8 - 6x = -14

2-3x = 5     implies 2 - 3x = 5 implies  x = -1