Let P(6, – 2, 2) and Q(0, 0, 0) be two points in R³. Find the distance between P and Q. - PQ

Q: find the distance d between the points P1 and P2. P1 = ( - 0.2, 0.3); P2 = (2.3, 1.1)

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Q: (b) Use the formula in part (a) to find the distance from the point P(1, 1, 1) to the line through…

A: Given :- Find the distance from the point P1,1,1 to the line through Q0,8,7 and R-1,2,6.

Q: Find the distance d from P, to P,. P = (2,3, - 1) and P, = (-3, -4,1) d=

A: Given query is to find the distance between P1 and P2.

Q: 3) Let M be the midpoint of a line segment joining two points A(20, -1) and B (4, –9). Calculate the…

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Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

Q: Find the taxicab distance between the following pairs of points: (a) (1, 2) and (5, 5) (b) (2, 4)…

A: The given points are (1, 2) and (5, 5).

Q: Find the distance between the points P = ( - 1, 3) and Q = (4, -2). Find the midpoint of the line…

A: (-1,3),(4,-2)

Q: find the distance d between the points P1 and P2. P1 = ( - 1, 0); P2 = (2, 4)

A: P1-1, 0  &  P22, 4

Q: 2. Suppose A, B,C, D e E³ are distinct points occurring in that order ong a straight line. a) Show…

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Q: Find all points with coordinates of the form (a, a) that are a distance 3 from P(-2, 1).

A: Given: P(-2,1) and distance is 3. To find the other coordinate point.

Q: Find all points on the y-axis that are a distance 6 from P(5,3).

A: A point on the y axis is of the form (0,k) , where k= real number. Let (0,k) is 6 units away from…

Q: Find the distance from point P(1,1,1) to the pl r +y +z = 1

A: We have to solve

Q: Let / be the line (1,-1, 1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. perp PQ…

A: We have to find the perpendicular distance between point Q and line l. Point Q is 1, 0, 1 and line l…

Q: Given (x, 5) and (-9, y), find x and y such that the midpoint between these two points is (4, 3).

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Q: 1. Find the distance between the points P = (-1,3) and Q = (4, -2). Find the midpoint of the line…

A: Consider two points Px1, y1 & Qx2, y2 Then, the distance between the points PQ is given by:…

Q: Use the distance formula to find the distance between the points (−1, −2) and (−2, −9).

A: Note that, the distance formula is

Q: Let P,(1,2, 1)and Pz = (4,2,4). a. Find the direction of the P,Pz b. Find the midpoint of line…

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Q: Let l be the line (1, –1,1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. %3D…

A: Given the line equation l is 1,-1,1+t0,2,1 and the point is Q=1,0,1. Find the distance from Q to l.

Q: Find the distance d between the following pair of points. (-1, –3), (-9, 6) d =

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Q: 6a. Find . F dr, where F(x, y) = , and C consists of the circle x' + y = 4 from (2,0) to (v2, v2)…

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Q: 2. Find the distance between and

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Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

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Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

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Q: Find all values of y such that the distance between (4, y) and (-2, 6) is 10 units

A: Given that the distance between (4, y) and (-2, 6) is 10 units.

Q: Consider the points P(2, −1, 0), Q(5, 0, 0), and R(3, 1,√5). Find the coordinates of the point S on…

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Q: Let P(1,2,1)and P2 (4,2,4). a. Find the direction of the P,P2 b. Find the midpoint of line segment…

A: Find the direction And find the mid point

Q: find the distance d between the points P1 and P2. P1 = (1.2, 2.3); P2 = ( - 0.3, 1.1)

A: The question is taken from the Analytical Geometry in which we have to find the distance between the…

Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: O Find the distance from the point (2, 1, 4) to the line r = (-t,6 – 2t, 8 – t).

A:

Q: 1. Find the distance between the points P = ( - 1, 3) andQ = (4, - 2). Find the midpoint of the line…

A: Given :  P = ( - 1, 3) and Q = (4, - 2) we have to find the distance between the points also find…

Q: Find the midpoint P between (–1, 2) and (3, –6).

A: Given : Points Q(-1, 2) and R(3, -6)

Q: find the distance d between the points P1 and P2, P1 = (a, a); P2 = (0, 0)

A: Since, we know that the distance between two points A and B havingcoordinates (x1,y1) and (x2,y2) is…

Q: Q2. Let P,(1,2,1)and P2 = (4,2,4). a. Find the direction of the P,P2 b. Find the midpoint of line…

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Q: Find the distance d between the following pair of points. (3, 8), (6, 4)

A: Here we find distance d between the pair of points 3,8 and6,4

Q: Let y = [3] and u = [2] to the line through u and the origin. Compute the distance from y

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Q: | the parametric equatioin for e line segment between a7) and (3,3)

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Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

A: We have to find the distance between the point P and the line L.

Q: Find the points on z the point (1, 2, 3) axis which are at a distance /21 from

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Q: Find all points on the y-axis that are a distance 6 from P(5, 3).

A: P5, 3 is at a distance of 6 units from the y-axis

Q: Find the distance between the given pair of points: 1 and 7

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Q: | 6. Let y = 3 and u = . Compute the distance from y to the line through u 1 2 and the origin.

A: Given: y=-231  and u=1-12 To compute: the distance from y to the line through u and the origin.…

Q: 2.) For the points P(-4,3) and Q(2,-5), find the distance d(P,Q) and the coordinates of the Midpoint…

A: Given, P-4, 3Q2,-5

Q: Consider the points P=(20,n,21) and Q=(10,0,10). n < 0 y ||PQ|| = V230 %3D If it holds that then it…

A: The points P=20, n, 21 and Q=10, 0, 10Where, n&lt;0If PQ→=230Then to find the true statement about…

Q: 2. Find the exact distance between the point P(2, 7) and the line y = -2x + 1. Use of graphis…

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Q: find the distance between points P1 and P2. P1(1, 1, 1), P2(3, 3, 0)

A: It is given that two points are  P11, 1,1 and P23, 3, 0    Distance formula between two point P1x1,…

Q: Determine all points P(x,y) such that PA = PB. A = (2,3) and B is on the line y=-3

A: solution:- A(2,3) B(0,-3)

Q: . Let P(2, –3, 6) and P2(2,2, -4). Find the coordinates of the point P on the line segment with PP =…

A: Given Data: The coordinates of point P1 is: P1x1, y1, z1=P12 -3, 6 The coordinates of point P2 is:…

Q: Find the locus of the points that are equidistant to the point F (0,2) and the line y=-2

A: Use distant formula..

Q: 4) Which of the following pairs of points define a line segment parallel to the x-axis? O(4,3)(-4,3)…

A: We have to identify the line segment parallel to x axis.