Question

Find the vector z, given
U =(5,5, 4) and v=(8,6,3), and w=(5,60,44)
-u + 5y - 5z = w

Answer 1

To find the vector z, subtract vector u from vector w, and add 5y and subtract 5z. The resulting vector is (5y, 55, 40 - 5z).

Step-by-step explanation:

To find the vector z, given vectors u, v, and w, we can use the formula:

z = w - u + 5y - 5z

Let's substitute the values:

u = (5, 5, 4)

v = (8, 6, 3)

w = (5, 60, 44)

Now, we can calculate:

z = (5, 60, 44) - (5, 5, 4) + 5y - 5z

z = (5 - 5, 60 - 5, 44 - 4) + 5y - 5z

z = (0, 55, 40) + 5y - 5z

z = (0 + 5y, 55, 40 - 5z)

Therefore, the vector z is (5y, 55, 40 - 5z).