(a)

The curve is .

Unit tangent to the curve given by the vector function is .

Unit normal to the curve given by the vector function is .

The curvature of the curve given by the vector function is .

Find .

Differentiate the curve with respect to .

.

Find .

Find unit tangent to the curve , .

.

Substitute corresponding values in above formula.

Find .

Differentiate the curve with respect to .

Find .

Find unit tangent to the curve , .

.

Substitute corresponding values in above formula.

(b)

Find curvature of the curve , .

The curvature of the curve given by the vector function is .

Substitute corresponding values in above formula.

.

(a) Unit tangent and unit normal vectors and are and \ \ .

(b) Curvature of the curve is .