engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Vector Algebra Applications of Vectors
Find the unit tangent vector at t = 2 on the curve x = t2 + 2, y = 4t - 5, z = 2t2 - 6t.
1
\(\dfrac{1}{\sqrt{3}}(\hat{i}+\hat{j}+\hat{k})\)
2
\(\dfrac{1}{\sqrt{6}}(2\hat{i}+\hat{j}+\hat{k})\)
3
\(\dfrac{1}{3}(2\hat{i}+2\hat{j}+\hat{k})\)
4
\(\dfrac{1}{3}(\hat{i}+\hat{j}+\hat{k})\)