Distance of the point $({{x}_{1}},{{y}_{1}},{{z}_{1}})$ from the line $\frac{x-{{x}_{2}}}{l}=\frac{y-{{y}_{2}}}{m}=\frac{z-{{z}_{2}}}{n}$, where $l,$m and n are the direction cosines of line is

Question

Accepted Answer

$\sqrt{{{({{x}_{1}}-{{x}_{2}})}^{2}}+{{({{y}_{1}}-{{y}_{2}})}^{2}}+{{({{z}_{1}}-{{z}_{2}})}^{2}}-{{[l({{x}_{1}}-{{x}_{2}})+m({{y}_{1}}-{{y}_{2}})+n({{z}_{1}}-{{z}_{2}})]}^{2}}}$

Answer

$\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{2}}+{{({{z}_{2}}-{{z}_{1}})}^{2}}}$

Answer

$\sqrt{({{x}_{2}}-{{x}_{1}})l+({{y}_{2}}-{{y}_{1}})m+({{z}_{2}}-{{z}_{1}})n}$

Answer

None of these

3-d

Question: Distance of the point $({{x}_{1}},{{y}_{1}},{{z}_{1}})$ from the line $\frac{x-{{x}_{2}}}{l}=\frac{y-{{y}_{2}}}{m}=\frac{z-{{z}_{2}}}{n}$, where $l,$m and n are the direction cosines of line is

3-d

Question: Distance of the point $({{x}_{1}},{{y}_{1}},{{z}_{1}})$ from the line $\frac{x-{{x}_{2}}}{l}=\frac{y-{{y}_{2}}}{m}=\frac{z-{{z}_{2}}}{n}$, where $l,$m and n are the direction cosines of line is

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