Determine the intersection of the line through the points (1,−2,13) and (2,0,−5) with linegivenby(alb,c)=(2+4d,−1−d,3), d is element of any R.
Determine the intersection of the line through the points (1,−2,13) and (2,0,−5) with linegivenby(alb,c)=(2+4d,−1−d,3), d is...
Let L1 be the line passing through the points Q1(−2, −5, −3) and Q2(2, −3, −1) and let L2 be the line passing through the point P1(11, 1, 4) with direction vector d=[3, 1, 2]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q.
Q4. (5 points). Find the equation of the plane that passes through the line of intersection of the two planes x - 2y = 3 and y- z = 0 and parallel to the line x = y - 1 = 2+1 Q5. (4 points). Find the distance from the point A(1,2,3) and the line 2+1 y-1 2 Q6. (4 points). Give the name and sketch the surface whose equation is given by x2 + 2y2 – 12y – z...
Question 7 (10 points] Let Ly be the line passing through the points Q1-(3,-1,-4) and Q2=(5,-3,-2) and let La be the line passing through the point P4-(12,-4, 3) with direction vector a-(-6, -6, -21". Determine whether Ly and L2 intersect. If so, find the point of intersection Q. The lines intersect at the following point Q: Q=(0,0,0)
2. (5 points) (a) Find a vector perpendicular to the plane through the points A(0, -2,0), B(4,1, -2) and C(5,3,1). (b) Find an equation of the plane through the points A, B, and C. (b) Find the area of the triangle ABC.
2. (5 points) (a) Find a vector perpendicular to the plane through the points A(0, -2,0), B(4,1, -2) and C(5,3,1). (b) Find an equation of the plane through the points A, B, and C. (b) Find the area of the triangle ABC.
(1 point) Find the least-squares regression line ý = bp + biz through the points (-2,0),(2,7),(5,13), (8, 18), (11,27), and then use it to find point estimates y corresponding to r = 4 and 3 = 9. For x = 4, y = For x = 9,4 =
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)
3. Determine the intersection of the two lines, if any: 2 y+1; z 1. 3 L2: =5-t. y = t, 2 = 1-+3t, t E R L and evaluate the distance between R(1, 1. -1) and Li
3. Determine the intersection of the two lines, if any: 2 y+1; z 1. 3 L2: =5-t. y = t, 2 = 1-+3t, t E R L and evaluate the distance between R(1, 1. -1) and Li
Let L1 be the line passing through the points Q1=(-5, 1,-4) and Q2=(1,-8,-1) and let L2 be the line passing through the point P1=(-10, 16,-5) with direction vector d=[-1,-1,-1]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q
(2 points) Find the least-squares regression line y = bo +b x through the points (-2,0), (2,9), (6, 13), (8, 20), (10,27). For what value of x is 9 = 0?