Q) Find the parametric equation of the straight line Passing through the point (A) and Parallel...
through tne po State the equation of the straight line parallel to the line y point (-4, 5). 3x+ 7 and passing through the 3. Given the linear equations: 2y 3x - 7 2x 5-3y 2y 3x 8 Write the three equations in the form y=mx +c. Hence state: (a) which pair of straight lines are parallel (b) which pair of straight lines are perpendicular to each other. Prove your answer in each case.
Q4 (8 points) (a) Find parametric equations of the line passing through the point A(5,-2,9) and perpendicular to the plane 3.x - y-6z+ 2 = 0. (b) Find two planes that intersect along the line.
1. Find a vector equation and parametric equations for a line passing through (-1,2,3) in the direction of Ŭ = i + 21 – R.
Q4 (8 points) (a) Find parametric equations to the line passing through the point A(5,-2,9) and perpendicular to the plane 3x - y - 6x + 2 = 0 (b) Find two planes that intersect along the line.
Q4 (8 points) (a) Find parametric equations of the line passing through the point A(5,-2,9) and perpendicular to the plane 33 - Y --- 62 +2 = 0. (b) Find two planes that intersect along the line
Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second equation for a line passing through the given point that is perpendicular to the given line. 43. (3,5), y = 4x+1 44. (-1,6), f(x) = 2x + 9 45. (-7,0), y = -0.3x + 4.3 46. (-4.-5), 2x + y = -4 47. (3.-2), 3x + 4y = 5 48. (8,-2), y = 4.2(x - 3) +...
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)
Write an equation of the line passing through the Point (-1,-4) and Parallel to the line defined by 5x + 3y = -8. Write in Standard form, NO Frachonal coefficient Find f(-x) and determine whether f is odd, even, neither f(x) = 4x5-5x4 2 3 evaluare and determine line 14 | (4) soive the marrix equation : 2x =ZA-B A = B=78 -18 18 Let the function t be defined by fox) = (3x-3 for x<-1. X² + 1 for-X<3...
Write the equation of the line parallel to the given line and passing through the givern point 6 through (3,4)
find the point of intersection of the line
1) Find the equation of the line passing through the points A(1,-5,-3)and B(2,-4,8) (3 marks) b) Find the equation of the plane perpendicular to the line in part (a) given that C(1,-9,6) is a point on the plane. (3 marks) c) Find the point of intersection of the line and the plane in parts (a) and (b) above respectively. (3 marks)