Final answer:
The length of the vector v is approximately 8.19.
Step-by-step explanation:
To find the length of a vector, we use the formula:
|v| = sqrt(vx^2 + vy^2 + vz^2 + vw^2 + vu^2)
Substituting the values from the given vector v = (5, 4, -4, 1, -3):
|v| = sqrt(5^2 + 4^2 + (-4)^2 + 1^2 + (-3)^2)
|v| = sqrt(25 + 16 + 16 + 1 + 9)
|v| = sqrt(67)
|v| ≈ 8.19