Vectors Question 2 Linear Algebra

[YOU NO DARK SKIN]

Let u = (5, 3, -4) and v = (4, 0, 1). Find the vector w = 4u - 5v and it's additive inverse. w = (_, _, _), -w

= (_, _, _).

 

[Some1]

First question:
w = 4u - 5v
4u = (4 * 5, 4 * 3, 4 *-4) = (20, 12, -26)
5v = (5 * 4, 5 * 0, 5 * 1) = (20, 0, 5)

therefore:
w = (20 - 20, 12 - 0, -26 - 5) = (0, 12, -31)

Second question:
The additive inverse is a fancy way of saying "times it by -1"
adding a value and its additive inverse gives you 0.

so -w = (0, -12, 31)

Hope this helped!