(a) find the vector equation
(b) the cartesian equation
of the straight line passing through the points A(2,-1,3) and parallel to line through the points B(3,2,-1) and C(-1,1,2). verify that the point (-2,-2,6) is on the required line
(a) find the vector equation (b) the cartesian equation of the straight line passing through the...
Q) Find the parametric equation of the straight line Passing through the point (A) and Parallel to the line (BC). A (2, -1,5), B(-4,5,6) and c(-2,-3,-2)
Question 4 6-69) Consider the following three points: a-0 b-3and c-1 a) Find the parametric vector equation of the plane which passes through these three [3 marks] b) Find the vector cartesian equation of the plane passing through the three points listed [2 marks] c) Hence, or otherwise, find the non-vector cartesian equation of the plane passing through 3 marks] points above. the points above.
Question 4 6-69) Consider the following three points: a-0 b-3and c-1 a) Find the parametric...
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...
Find the equation of the line passing through the point (1,1,1) which is perpendicular to the plane containing the points (1,0,0), (2,1,1) and (1,1,2).
three seperate questions multiple choice
Find a vector equation of the line passing through the point P(1,-1, 3) and parallel to the line with an equation +x =1/+t -2,tER. N-N He रे tER. 21.DER tER. TER Calculate the area of the parallelogram induced by ܠܐ ܢ ܝ ܘ 1 8 -3 -1 7 Consider the points P(1,2,2), Q(-1, 0, 1), and R(3, 2, 1). Then O + PR = P O QP PR - OR PO + RP = QR...
72. Points and lines. Let L be the line passing through the points A (1,1,2) and B=(3,5,6). (a) Use a vector projection to find the closest point P on L to the point C = (2,1,1). (b) Find the distance between P and C.
1. Find the vector equation of the line (a) through the point (1, 3) with gradient 2, (b) through the points (3,-5) and (-2, 4), (c) * through the point (2,-1) and parallel to the line r. (41 – 3j) – 2 = 0, (d) through the point (-3,6) and perpendicular to the line 3x - 5y = 7
Previous Problem List Next (1 point) Fine the equation for the line passing through the point (-3,2) and parallel to the line whose equation is y = 3x + 8. Answer: Preview My Answers Submit Answers
(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...
(41) find the equation of the plane passing through the points A(3,-2,0), B(2,0,3), and C(1,-1,1) in (i) vector form (ii) parametric form (iii) cartesian form