(1 point) suppose f⃗ (x, y)=−yi⃗ +xj⃗ f→(x, y)=−yi→+xj→ and cc is the line segment from point p=(4,0)p=(4,0) to q=(0,5)q=(0,5). (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)= < 4,0> +t< -4,5> (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 20 dtdt with limits of integration a=a= 0 and b=b= 1 (c) evaluate the line integral in part (b). 20 (d) what is the line integral of f⃗ f→ around the clockwise-oriented triangle with corners at the origin, pp, and qq