Question

Please help me guys as fast as possible I BEG YOU, thanks!

Answer 1

Answer:

2u + v - 4w = <40 , -4>

6u - 8v = <-78 , 58>

4v - 7w = <101 , -36>

11u + 3w = <-88 , 89>

Step-by-step explanation:

* Lets find the value of each operation to find its resultant vector

# 2u + v - 4w

∵ u = <-5 , 7>

∴ 2u = <-10 , 14>

∵ v = <6 , -2>

∵ w = <-11 , 4>

∴ 4w = <-44 , 16>

∴ 2u + v - 4w = <-10 + 6 - -44 , 14 + -2 - 16>

∴ 2u + v - 4w = <40 , -4>

# 6u - 8v

∵ u = <-5 , 7>

∴ 6u = <-30 , 42>

∵ v = <6 , -2>

∵8v = <48 , -16>

∴ 6u - 8v = <-30 - 48 , 42 - -16>

∴ 6u - 8v = <-78 , 58>

# 4v - 7w

∵ v = <6 , -2>

∴ 4v = <24 , -8>

∵ w = <-11 , 4>

∴ 7w = <-77 , 28>

∴ 4v - 7w = <24 - -77 , -8 - 28>

∴ 4v - 7w = <101 , -36>

# 11u + 3w

∵ u = <-5 , 7>

∴ 11u = <-55 , 77>

∵ w = <-11 , 4>

∴ 3w = <-33 , 12>

∴ 11u + 3w = <-55 + -33 , 77 + 12>

∴ 11u + 3w = <-88 , 89>