A uni-modular tangent vector on the curve \[x={{t}^{2}}+2\], \[y=4t-5\], \[z=2{{t}^{2}}-6t\] at t=2 is

\[\frac{1}{3}(\hat{i}-\hat{j}-\hat{k})\]

\[\frac{1}{3}(2\hat{i}+2\hat{j}+\hat{k})\]

\[\frac{1}{6}(2\hat{i}+\hat{j}+\hat{k})\]

\[\frac{2}{3}(\hat{i}+\hat{j}+\hat{k})\]

A uni-modular tangent vector on the curve \[x={{t}^{2}}+2\], \[y=4t-5\

1.	A uni-modular tangent vector on the curve \[x={{t}^{2}}+2\], \[y=4t-5\], \[z=2{{t}^{2}}-6t\] at t=2 is
A.	\[\frac{1}{3}(2\hat{i}+2\hat{j}+\hat{k})\]
B.	\[\frac{1}{3}(\hat{i}-\hat{j}-\hat{k})\]
C.	\[\frac{1}{6}(2\hat{i}+\hat{j}+\hat{k})\]
D.	\[\frac{2}{3}(\hat{i}+\hat{j}+\hat{k})\]
Answer» B. \[\frac{1}{3}(\hat{i}-\hat{j}-\hat{k})\]

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A uni-modular tangent vector on the curve \[x={{t}^{2}}+2\], \[y=4t-5\], \[z=2{{t}^{2}}-6t\] at t=2 is

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