For what value of $x$ do $6 \vec{i}-x \vec{j}+(x-2) \vec{k}$ and $x \vec{i}-(x+1) \vec{j}+3 \vec{k}$ have the same length?

Name: For what value of $x$ do $6 \vec{i}-x \vec{j}+(x-2) \vec{k}$ and $x \vec{i}-(x+1) \vec{j}+3 \vec{k}$ have the same length?
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The Answer of For what value of $x$ do $6 \vec{i}-x \vec{j}+(x-2) \vec{k}$ and $x \vec{i}-(x+1) \vec{j}+3 \vec{k}$ have the same length?

For What Value Of xxx Do 6i⃗−xj⃗+(x−2)k⃗6 \vec{i}-x \vec{j}+(x-2) \vec{k}6i−xj​+(x−2)k And xi⃗−(x+1)j⃗+3k⃗x \vec{i}-(x+1) \vec{j}+3 \vec{k}xi−(x+1)j​+3k

For What Value Of $x$ Do $6 \vec{i}-x \vec{j}+(x-2) \vec{k}$ And $x \vec{i}-(x+1) \vec{j}+3 \vec{k}$