Please show work on how to get the answers. Thanks in advance! :)
Please show work on how to get the answers. Thanks in advance! :) 7. Let P(-3,1)and...
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.)
s points) Given the two points P2,4) and Qu,-5) (a) Find the distance between P and Q (b) Find the midpoint of the segment joining P and Q. (c) Find the slope of the line through P and Q. (d) Determine an equation of the line through P and Q (e) Find an equation of a line perpendicular to the line in part (d) through (5,7). (f) Find the equation of a horizontal line through P.
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 .
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.
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...
Let S denote the sphere x2 y2 2 = 1. Given two points P(1,0,0), (a) Find the distance between P and Q. Lets call this Euclidean distance. (b) Find the plane that goes through O, P, Q. What is the intersection of this plane with the sphere? (Hint: use OP × OQ as the the normal vector) (c) Observe that the length of the arc PQ is 0 the angle between OP,0Q in radians. (Hint: You know how to find...
please show your work and label your answers, thanks in advance! 4. Assuming that the switch has been open for a long time, find i) for >0. 800 0 30 v ve325 H a) Find the roots of the characteristic equation: b) Write the general form of the solution (with unknown constants) o(t) What is the value at time infnity? c) d) What is the value at time zero? e) What is the value of the derivative at time zero?...
Edit 0 Sun Feb 2 Word View 0 File Insert Format Font Tools ) 50% Table Window $ Help Math 115 Forum 3.docx Q- Search in Docu ome Layout Document Clements Tables Charts SmartArt Review UNA A.A. EE. Forum 3 Show all work for full credit. Just answers are not accepted. 1) Find the midpoint of the line segment joining A(-3,-5) and B(1, 15) 2] Find the distance dA, B) between the points A[ 2-5) and (-1,-6) 3) Write the...
АЗ. You are given that the plane P contains both the point and the line Ls, where Q has position vec- tor q = i + 3, and L3 is given by the equation r = (0, i, 2) + λ(1, 3,-1) (where λ is a real parameter). i) Write down two vectors representing two different directions which lie in the plane P. [2 marks i) By using the cross product or otherwise, find a direction perpendicular to the plane....
Please show work. Thanks in advance. Question 5 (20 pts) You must decide which of two discrete distri- butions a random variable X has. We will call the distributions po and p. Here are the probabilities they assign to the values r of X. 2 Po P 0 1 2 0.1 0.1 0.2 0.1 0.3 0.2 3 4 5 0.3 0.1 0.1 0.1 0.1 0.1 6 0.1 0.1 You have a single observation on X and wish to test Ho:...