QUESTION 10 Find a set of parametric equations of the line through the points (-7, 6,...
1:34 Find the parametric equations of the line in Rthat passes through the points (2,4, 1) and (-3, -2,-4). (A) x 25t y 6 6 (B) x 2-5t y 4 6t (C) x -3-5t y 4 6t (D) х--2-t y 6-6t y 6-6t (G) x 2 -5t y 4 6 Problem 45
Find parametric equations for the line through the points P(-1,-1,5) and Q(-5, -6,3). O A. x= - 4+1 y = -5t + 1 z= - 2t - 5 OB. X= - 4 - 1 y = -5t-1 z= -2t + 5 OC. x=t-4 y=t- 5 z= 5t-2 OD. x=t+4 y=t+ 5 z= 5t + 2
Find parametric equations of the line through the point (7,0, -3) that is parallel to the planes x - 8y + 6z = 0 and 8x + 8y - 2+ 6 = 0. x= 7+81, y = = 81,2 = -3 -1 x= 7+ 401, y = -491, z = -3 - 72t x = 7 - 401, y = 491,2= -3 + 72t x= 7+1, y = -81, z = -3 + 6t 0 x= 7-1, y = 81,2...
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0 (12(8 pts) Find parametric equations of the line through the point (2,...
7. (-/1 Points) DETAILS LARCALC11 11.R.037. Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (7, 0,5), (10, 11, 9) (a) Find sets of parametric equations. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) Find sets of symmetric equations. *57 - 11 3+5 0 - 7x + 3 = 11y = -5z +...
4. Find the parametric equations for a line through a point (0,1,2) that (a). parallel to the plane x + y + z = 2, and (b). perpendicular to the line T = 1+t, y = 1 –t, z = 2t (Answer: x = 3t, y=1-t, 2 = 2 - 2t)
Question 4 Find the equation of the line passes through the points (2, -1,3) and (1,4, -3). y+5 z +6 3 3+1 -5 1 6 2= 1 + 2t y = 2 +3t z=1 - 5t None of the above or below 2=2+t y= 2 + 3t z= 3+ 6t 1 = 1 wel 3 - Previous
(a) Give a set of parametric equations (with domain) for the line segment from (4, -1) to (5,6). (b) Give a set of parametric equations (with domain) for the ellipse centered at (0,0) passing through the points (4,0), (-4,0), (0,3), and (0, -3), traversed once counter-clockwise. (c) Find the (x, y) coordinates of the points where the curve, defined parametrically by I= 2 cost y = sin 2t 0<t<T, has a horizontal tangent.
3. [-/10 Points] DETAILS SCALCET8 12.5.007. Find parametric equations for the line. (Use the parameter t.) The line through the points (0, 1, 1) and (3, 1, -2) (x(t), y(t), z(t)) = Find the symmetric equations. - 3 2+2 3 - 3 *33 = 2y - 2 - 2x - 2 = Y;3 - 2+2 + = -2 **2 = 2 -2 -2-3 3 + 3x = 1 + = -2 - 3 3 X-3-24-2=2+2 Submit Answer
2. (10 points) Starting with the vector parameterization, find the parametric equations of the line passing through the points P = (1,3, -2) and Q = (-2.0,3). = y =