Find an equation describing the line passing through the point Po(1,2,4) in the direction v =...
Find the equation of the line passing through the point (1,2,4) and perpendicular to the plane x−y + z = 3
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)
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...
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)
Find the equation of the line passing through the point (1,2,3), and perpendicular to the plane x + y + z = 6.
27. What is the equation of the line with a slope of passing through the point (-15, -4)? 10x+y-1
Let L1 be the line passing through the point P 2, 2,-1) with direction vector a=[-1, 1,-2]T, and let L2 be the line passing through the point P2-(-5, -5,-3) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that dQ1Q2) d. Use the square root symbol' where needed to give an exact value for your answer. d 0 Q1-(0, 0, 0)...
Find the equation of the line passing through (5,− 3) and perpendicular to the line 2x + 3y = 7 . Find the equation of the line passing through (5, 2) and (− 3, 2) . Graph the following functions and find the x − intercept, y - intercept, slope in each case. 7x − 4y = 10 2y − x − 1 = 0
Let L be the line passing through the point P=(-2,-2, -2) with direction vector d=[3,1, 0]T. Find the shortest distance d from the point P0=(-2,-3, -2) to L, and the point Q on L that is closest to Po. Use the square root symbol '√' where needed to give an exact value for your answer.
1. Find a vector equation and parametric equations for a line passing through (-1,2,3) in the direction of Ŭ = i + 21 – R.