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if the cross product of vector A and vector B is 8i-14j+k and the difference of vector A and vector B is 5i+3j+2k,then find the value of vector A and vector B.

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since A-B=5i+3j+2k, if B = <a,b,c> then A = <a+5,b+3,c+2>
So, solve the determinant for AxB = <8,-14,1>
|i j k|
| a+5 b+3 c+2 | = 8i-14j+1
| a b c |

That gives B=3i+2j+4k
so A = 8i+5j+6k

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