(Solved): Vector lengths Puntos:1 Six vectors are listed below. Rank them in order of increasing magnitudes, ...

Vector lengths Puntos:1 Six vectors are listed below. Rank them in order of increasing magnitudes, from smallest to largest, by selecting a rank from the pull down menu. The smallest is rank \( 1 . \) (Vectors of equal length have the same rank and then one rank is skipped. Example: 422165 ) Vector: \( 19 \mathbf{i}-23 \mathbf{j}-20 \mathbf{k} \) Vector: \( 36 \mathbf{i} \) Vector: \( 29 \mathbf{i}+22 \mathbf{j} \) Vector: \( 24 \mathbf{i}-20 \mathbf{j}-17 \mathbf{k} \) Vector: \( 21 \mathbf{j}+29 \mathbf{k} \) Vector: \( -36 \mathbf{j} \) In cartesian coordinates, the magnitude of a vector is the square root of the sum of squares of its components. Ranking the squares of the magnitudes saves a little work.