F⃗ (x, y)=−yi⃗ +xj⃗ f→(x, y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector parametric equation r⃗ (t)r→(t) for the line segment cc so that points pp and qq correspond to t=0t=0 and t=1t=1, respectively. r⃗ (t)=r→(t)= (b) using the parametrization in part (a), the line integral of f⃗ f→ along cc is ∫cf⃗ ⋅dr⃗ =∫baf⃗ (r⃗ (t))⋅r⃗ ′(t)dt=∫ba∫cf→⋅dr→=∫abf→(r→(t))⋅r→′ (t)dt=∫ab dtdt with limits of integration a=a= and b=b= (c) evaluate the line integral in part (b). (d) what is the line integral of f⃗ f→ around the clockwise-oriented triangle with corners at the origin, pp, and qq? hint: sketch the vector field and the triangle.