Question

If u, v, and w are unit vectors as shown below, find the magnitude of u + v + w.

a) |u + v + w| = |u| + |v| + |w|
b) |u + v + w| = |u| × |v| × |w|
c) |u + v + w| < |u| + |v| + |w|
d) |u + v + w| > |u| + |v| + |w|

Answer 1

The magnitude of u + v + w is equal to the sum of the magnitudes of u, v, and w.

Step-by-step explanation:

The magnitude of u + v + w can be found by adding the magnitudes of the vectors u, v, and w. Since u, v, and w are unit vectors with a magnitude of 1, the magnitude of u + v + w will be equal to the sum of the magnitudes of u, v, and w, which is 1 + 1 + 1 = 3. Therefore, the correct answer is a) |u + v + w| = |u| + |v| + |w|.