(a) Find a vector-parametric equation r⃗ 1(t)=〈x(t),y(t),z(t)〉r→1(t)=〈x(t),y(t),z(t)〉 for the shadow of the circular cylinder x2+z2=4x2+z2=4 in the xzxz-plane. Shadow: r⃗ 1(t)=r→1(t)= for 0≤t≤2π0≤t≤2π. (b) Find a vector-parametric equation for intersection of the circular cylinder x2+z2=4x2+z2=4 and the plane 5x+8y+6z=15x+8y+6z=1. Intersection: r⃗ 2(t)=r→2(t)= for 0≤t≤2π0≤t≤2π.