Find the equation of the plane through the point (-2,8,10) and parallel to the line x=1+t, y=2t, z=4-3t
Find the equation of the plane through the point (-2,8,10) and parallel to the line x=1+t,...
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)
Find the equation of the line that passes through the point (2,3,4) and is perpendicular to the plane 2x-y + 3z = 4 a. x=4+2t , y=2-t, z=7-3t b. x=2+2t , y=3-t, z=4+t c. x=2-2t , y=-3+t, z=4-3t d. x=-2+4t , y=5-2t, z=-2+6t e. another solution
--1)+3y+2(z-4) 0 (9) Find an equation of the plane (a) through the point (2,0, 1) and perperndicular to the line a =3t, y 2- t,z3t+4 (b) passes through the point (1,-1,-1) parallel t the plane bz-y-z6 (c) passes through the point (3,5,-1) and contains the line a 4-t,y = -1+2t, z3t (d) passing through (-1,1,1), (0,0,2) and (3,-1,-2).
Find the equation for the plane through Po(-1, -7,4) perpendicular to the following line. x= - 1+t, y= - 7+ 3t, z = -5t, -o0<t<00 The equation of the plane is 0.
Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6 Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
Find the equation for the plane through Po(-4.1. - 3) perpendicular to the following line. x= - 4 +t, y = 1-2t, z = - 4t, -00 <t<00 The equation of the plane is 2
Find the scalar equation for the plane passing through the point P(-1,0,5) and containing the line L defined by x = 4-6t y=-2+2t z=4-2t
Find an equation of the plane that passes through the point (9,4,0) and contains the line x = −4−t , y = −2+6 t , z = 4+8 t
41,43,45 41. Write an equation for a line parallel to f(x)= -5x – 3 and passing through the point (2,-12) 42. Write an equation for a line parallel to g(x)= 3x -1 and passing through the point (4,9) 43. Write an equation for a line perpendicular to h(t)=–2t+4 and passing through the point (-4,-1) 44. Write an equation for a line perpendicular to p(t) = 3t + 4 and passing through the point (3,1) 45. Find the point at which...
Find the distance between the line with equation 1+t and the plane with equation x +y+z 8 in R3. Hint. The line is parallel to the plane, so pick a point on the line and find the distance. Enter your answer rounded to the second decimal place. MULTIPLE TRIES ALLOWED Answer: Check