Find the midpoint of the line segment PQ. P(9,-2); Q(-5, -2) (x, y) =
Carefully draw the line segment PQ that connects P=(4, 5, -3) and Q=(0, -4, 2) . Include dotted vertical lines from the xy-plane to P and Q to show perspective. Find the distance between P and Q, from the previous problem. Then find the coordinates of the midpoint of the line segment PQ . Let u= -3i+5j+7k and v= 10i+j-2k . Show that u × v is orthogonal to the vector v .
Find the slope of the line PQ. P(5, -4); Q(-5,2)
Fourth Homework (1) Let P-(**.0) and Q ( . (a) Find the pole of the line PQ (b) Find the parametrization of the line PQ (c) Does (ch,顽週lie on the line PQ? 克,2 7, ) lie on the line PQ? (2) Find the distance between the lines (1,0,-1) + t(2,3,0) and m (2,-1,3) +s(0, 1,2). (3) Let A and B be two distinct points of S2. Show that X e I d(X, A) = d(X, b)) is a line and...
Find the midpoint of the line segment joining the points P, and P2 P1 = (-0.3,1.2) P2 = (2-2,0.2) The midpoint is . (Type an ordered pair.)
For the points P(3.4) and Q(3,5), find (a) the distance between P and Q and (b) the coordinates of the midpoint of the segment PO. (a) The distance between P and Q is, d(P,Q) = (Simplify your answer. Type an exact answer, using radicals as needed.) (b) The midpoint of the segment PQ is (Simplify your answer. Type an ordered pair. Type an exact answer for each coordinate, using radicals as needed.)
y 1/(1-x) 5. The point P(2,-1) lies on the curve C If Q is the point (x,1/(1-x), use your calculator to find the slope of the secant line PQ a. (correct to six decimal places) for the following values of x: 1.5 (ii) 1.9 (i) 1.99 (iv) 1.999 (v) 2.5 (vi) 2.1 (vii) 2.01 (vii) 2.001 Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(2,-1) i. b. Using...
find y if s is the midpoint of segment RT, T is midpoint of segment RU, RS = 6x+5, ST=8x-1, and TU=11y+13.
Find the distance between (2, -4) and (1,-6). Give the exact distance. midpoint of the line segment that joins points P(2,3) and Q(-2,5).
Use the midpoint formula to find the midpoint of the line segment whose endpoints are (-1,-3) and (3,-7). Please show all work.
the plane PQ X PR 1. Find unit vector the perpendicular to P(1,1,1), Q(2,1,3), R(2, 2, 1).