ns Chap 10.7 Vector Functions and Space Curves: Probler (1 point) Suppose (t) = cos(at)i + sin(at)j + 3tk represents the position of a particle on a helix, where z is the height of the particle. (a) What is t when the particle has height 9? t = 3 (b) What is the velocity of the particle when its height is 9? = (c) When the particle has height 9, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter t) as it moves along this tangent line. L(t) =

Chap 10.7 Vector Functions and Space Curves: Proble (1 point) Suppose r(t)=cos(t)i+sin(t)j+3tk represents the position of a particle on a helix, where z is the height of the particle. (a) What is t when the particle has height 9? t= (b) What is the velocity of the particle when its height is 9 ? v= (c) When the particle has height 9, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter t ) as it moves along this tangent line. L(t)=