if a curve in r 3 has the property that the position vector r()t is always perpendicular to the tangent vector r()t , show that the curve lies on a sphere with center at the origin.

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06-10-2022
Mathematics

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if a curve in r 3 has the property that the position vector r()t is always perpendicular to the tangent vector r()t , show that the curve lies on a sphere with center at the origin.

Sagot :

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if a curve in r 3 has the property that the position vector r()t is always perpendicular to the tangent vector r()t , show that the curve lies on a sphere with center at the origin.

Sagot :

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