1. Find the vector equation of the line (a) through the point (1, 3) with gradient...
Question 3 a) Find the cartesian equation of the line that passes through the origin and lies perpen- (3 dicular to the plane 3x - 5y +2z 8. marks] b) Find the cartesian equation of the plane that lies perpendicular to the line 3 marks] and passes through the point 1 cExplain why a unique plane passing through the three points A(-2,-1,-4), B(0,-3,0) [2 marks) and C(2,-5,4) cannot be defined. Question 3 a) Find the cartesian equation of the line...
4. [3/8 Points) DETAILS PREVIOUS ANSWERS SCALCCC4 9.5.013. Consider the line that passes through the point and is parallel to the given vector. (4, -3,6) < 1, 2, -3> (a) Find symmetric equations for the line. 2-6 -(x-4)= 2 3 y +3 (b) Find the points in which the line intersects the coordinate planes. (5 X IX 0) (0,9 X -6 (4 x 0, 4 X) 1 Consider the line that passes through the point and is perpendicular to the...
(1 pt) Find a vector equation for the line through the point P = (1, -2, 3) and parallel to the vector v = (-3, 2, -3). Assume r(0) = li – 2 + 3k and that v is the velocity vector of the line.. r(t) = i + j+ Rewrite this in terms of the parametric equations for the line. X < N
Find the equation of the line satisfying the given cond possible. 43. Through (-1, 4), parallel to x + 3y = 5 45. Through (1,6), perpendicular to 3x + 5y = 1 47. Through (-5, 7), perpendicular to y = -2 49. Through (-5, 8), parallel to y = -0.2x + 6
For the following specifications of lines find the equation of the line in (a) General form (b) Point-gradient form (c) Gradient intercept form i. Passing through (2.2) with gradient 3 ii. Passing through (-3,7) parallel to the line 3x-4y+1=0 Passing through (1.1) perpendicular to the line 7x+3y-5=0 For each of the above lines find both the x intercept and the y intercept
(1) (a) Find the equation of the line, Li, which passes through the points A : (4,y,z) = (0, -5, -3) and B : (x, y, z)=(3, 1,0). (b) Find the equation of the line, Ly, which passes through the points C:(x, y, z)=(-1, -3,2) and D: (x,y,z) = (4,3,6). (c) Show that L and Ly are not parallel lines. (d) Write the parametric equations for L, and L2, and then show that the lines Li and L2 do not...
1 - Find an equation of the vertical line that passes through (x, y) = (−10, 18). 2 - Find an equation of the line that passes through the point (−1, 6) and is parallel to the line passing through the points (−3, −5) and (1, 3). (Let x be the independent variable and y be the dependent variable.) 3 - Find an equation of the line that passes through the point (4, 3) and is perpendicular to the line...
3. Find an equation of the line containing the point(3,-5) and perpendicular to the line 3x - 5y = 9 (5pts)
Find an equation of the line that passes through the point (4, 2) and is perpendicular to the line 2x + 5y 6 = 0 Need Help? Talk to a Tutor Read It Find an equation of the line that passes through the point (4, 2) and is perpendicular to the line 2x + 5y 6 = 0 Need Help? Talk to a Tutor Read It
(1 point) Give a vector parametric equation for the line through the point (0, -3, -3) that is parallel to the line (4 + 4t, -4 – t, t – 3): L(t) =