calculus 3
Assume that u rightarrow v rightarrow = 2, u rightarrow = 1, v rightarrow = 3.. Evaluate the following expressions: 2u rightarrow (3u rightarrow - v rightarrow) (u rightarrow + v rightarrow) (u rightarrow - v rightarrow) Using a dot product find the angle between sides AB and AC for the triangle with vertices A(10,8), B(0,10) and C(3,2). Use the cross product to find the area of the triangle with vertices (1,1,5), (3,4,3), and (1,5,7). Determine if the lines r1rightarrow(t) = 0,1,1 + t l,l,2 and r2rightarrow(s) = 2,0,3 + s 1,4,4 intersect and if so, find the point of intersection. Find an equation of the plane that contains the lines r1 rightarrow (t) = t + 1, 2t, 3t - 1 and the point (-1,0,1).
Show transcribed image text Assume that u rightarrow v rightarrow = 2, u rightarrow = 1, v rightarrow = 3.. Evaluate the following expressions: 2u rightarrow (3u rightarrow - v rightarrow) (u rightarrow + v rightarrow) (u rightarrow - v rightarrow) Using a dot product find the angle between sides AB and AC for the triangle with vertices A(10,8), B(0,10) and C(3,2). Use the cross product to find the area of the triangle with vertices (1,1,5), (3,4,3), and (1,5,7). Determine if the lines r1rightarrow(t) = 0,1,1 + t l,l,2 and r2rightarrow(s) = 2,0,3 + s 1,4,4 intersect and if so, find the point of intersection. Find an equation of the plane that contains the lines r1 rightarrow (t) = t + 1, 2t, 3t - 1 and the point (-1,0,1).