Find the distance between the two vectors.
-$$\mathbf { u } = ( 0,0,0 ) , \mathbf { v } = ( 9,9,6 )$$
A) 198
B) $2 \sqrt { 6 }$
C) $3 \sqrt { 22 }$
D) 24

Question

Quizplus · Accepted Answer

The distance between two vectors $\mathbf{u}$ and $\mathbf{v}$ in 3-dimensional space is given by the formula $\sqrt{(v_1 - u_1)^2 + (v_2 - u_2)^2 + (v_3 - u_3)^2}$. Substituting the given values, we get $\sqrt{(9-0)^2 + (9-0)^2 + (6-0)^2} = \sqrt{81 + 81 + 36} = \sqrt{198} = 3\sqrt{22}$.

Find the Distance Between the Two Vectors u=(0,0,0),v=(9,9,6)\mathbf { u } = ( 0,0,0 ) , \mathbf { v } = ( 9,9,6 )u=(0,0,0),v=(9,9,6)

Find the Distance Between the Two Vectors $\mathbf { u } = ( 0,0,0 ) , \mathbf { v } = ( 9,9,6 )$