Given a vector x=[−1
2
−3], please compute the length of x, denoted as ||x||.

Question

BlackTom AI · Accepted Answer

The vector x is given as a three-dimensional column: x = [-1, 2, -3]. To find its length (norm), we use the Euclidean norm: ||x|| = sqrt((-1)^2 + 2^2 + (-3)^2).
Compute each square: (-1)^2 = 1, 2^2 = 4, (-3)^2 = 9. Sum them: 1 + 4 + 9 = 14.
Take the square root of the sum: sqrt(14) ≈ 3.741657386... .
Rounding to two decimal places yields approximately 3.74. 
Note: The provided data includes an empty set of answer options, so there are no alternatives to evaluate here; the computed length is 3.74.

25S-STATS-102B-LEC-3 Quiz 1- Requires Respondus LockDown Browser

Given a vector x=[−1 2 −3], please compute the length of x, denoted as ||x||.

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