Recover the Missing Coordinate

Vector Operations & SimilarityEasy+10 XP+10

A three-dimensional feature vector has one unknown coordinate:

$\vec v = (6,\, -3,\, k), \qquad k > 0$

Its length (Euclidean norm) is exactly

$\|\vec v\| = 7$

What is $k$ ?

Select all that apply.

A Vector as a List of Numbers

Drag the point. Every arrow can also be written as an ordered pair of numbers — its coordinates.

Drag the tip

v = (4.0, 3.0)

‖v‖ = √(x² + y²) = 5.00