A) 12
B) 50
C) \[5\sqrt{2}\]
D) None of these
Correct Answer: C
Solution :
Projection of the line on\[x-\]axis \[{{x}_{2}}-{{x}_{1}}=3\] Projection of the line on y-axis \[{{y}_{2}}-{{y}_{1}}=4\] Projection of the line on z-axis \[{{z}_{2}}-{{z}_{1}}=5\] \[\therefore \]Length of the line \[=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{2}}+{{({{z}_{2}}-{{z}_{1}})}^{2}}}\] \[=\sqrt{{{(3)}^{2}}+{{(4)}^{2}}+{{(5)}^{2}}}\] \[=\sqrt{9+16+25}\] \[=5\sqrt{2}\]
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