The parametric equations where 0 tl describe the line segment that joins the points P1(x1, y and P2(x2, y2) Use a graphing device to draw the triangle with vertices A(1, 1), B(3, 4), C(1,7). Find the...
1 The parametric equations x = x2 + (x2 - *,), y = y + (72 - Y2) where osts i describe the line segment that joins the points P2(XqrY,) and P2(%20Yz). Use a graphing device to draw the triangle with vertices A(1, 1), B(5, 4), C(1,6). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma-separated list of equations. Let x and y be in terms of t.) A to B B to C...
The parametric equations below describe the line segment that joins the points P1(X1,Y1) and P2(x2,12). Consider the triangle A(1, 1), B(4,2), C(1, 4). Find the parametrization, including endpoints and sketch to check. X = X1 + (x2 - X1) y = V1 + (Y2 - Y1)t Ostsi (a) A to B x(t) = 1 + (2-1) y(t) = 1+(3-1) ostsi (b) B to C x(t) = (t) = Ostsi (c) A to C X(t) = y(t) = Ostsi
Given distinct points P1= (x1,y1) and P2= (x2, y2),suppose P=(x,y) is any point on a line through P1 andP2. a. By equating slopes, show that x and y satisfy the equation b. Explain why the equation found in (a) is the equation of a straight line. c. What happens if x2 = x1? **PLEASE SHOW ALL WORK!!
Find a vector equation and parametric equations for the line segment that joins P to Q. (D |-1+2-) 1 P(0, -1, 4) 4 -t.2 3 t. r(t) 4 vector equation X 7 4 t.2 3 1 - t. (x(t), y(t), z(t)) 4 X - parametric equations 2 If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might...