Question

Given the following information, what is the magnitude of the sum of the three

vectors?
Vector A: [13, 8, 0]
Vector B: [13, 0, 8]
Vector C: [0, 1, 8]

Answer 1

To find the magnitude of the sum of the three vectors, you first need to add the vectors together and then calculate the magnitude of the resulting vector. Let's add the vectors A, B, and C:

Vector A: [13, 8, 0]
Vector B: [13, 0, 8]
Vector C: [0, 1, 8]

Sum of vectors A, B, and C: [13 + 13 + 0, 8 + 0 + 1, 0 + 8 + 8] = [26, 9, 16]

Now, we can calculate the magnitude of the resulting vector:

Magnitude = sqrt((26)^2 + (9)^2 + (16)^2)
Magnitude ≈ sqrt(676 + 81 + 256)
Magnitude ≈ sqrt(1013)
Magnitude ≈ 31.83

Therefore, the magnitude of the sum of vectors A, B, and C is approximately 31.83.