13.4 HelixUnitTangent+UnitPrinNormalVectors 240924done

and the Velocity Vector was:

수식 15: vector left parenthesis, "P" , "P" plus "V" , right parenthesis

QUESTION: how will the Velocity Vector compare to the Unit Tangent Vector?

The POINT that is the head/end of Unit Tangent VECTOR when t = (pi)/2

수식 18: "T" equals left parenthesis, negative StartFraction, 1 Over StartRoot, 2 , EndRoot , EndFraction , 0 , StartFraction, 1 Over StartRoot, 2 , EndRoot , EndFraction , right parenthesis

equals

left parenthesis, negative 0.7 0 7 1 0 6 7 8 , 0 , 0.7 0 7 1 0 6 7 8 , right parenthesis

and the Unit Tangent vector with the initial point at P is:

수식 20: vector left parenthesis, "P" , "P" plus "T" , right parenthesis

QUESTION: how will the Unit Tangent Vector compare to the Unit Principle Normal Vector?

The POINT that is the head/end of Unit Principle Normal VECTOR when t = (pi)/2

수식 23: "N" equals left parenthesis, 0 , negative 1 , 0 , right parenthesis

and the Unit Principle Normal vector with initial point at P is:

수식 25: vector left parenthesis, "P" , "P" positive "N" , right parenthesis

All done .

수식 27: "V" equals left parenthesis, negative 1 , 0 , 1 , right parenthesis

Ignore this set-up folder (colors)