Given u=(1,-1,3) and v=(-4,5,3) find ordered triple that represents 3u-2v

< 11, - 13, 3 >

Step-by-step explanation:

Multiply the components of u by 3 and the components of v by 2

3u - 2v

= 3 < 1, - 1, 3 > - 2 < - 4, 5, 3 >

= < 3, - 3, 9 > - < - 8, 10, 6 >

Subtract corresponding components

= < 3 + 8, - 3 - 10, 9 - 6 >

= < 11, - 13, 3 >

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints