Easy vector problem! show work/explain please :)

Mathematics

1 answer:

krek1111 [17]3 years ago

8 0

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

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