Let A = {4, 5, 7} and B = {x, y}. Let p1 and p2 be the projections of A ✕ B onto the first and second coordinates. That is, for each pair (a, b) A ✕ B, p1(a, b) = a and p2(a, b) = b.(a) Find p1(4, y) and p1(7, x)What is the range of p1? (Enter your answer in set-roster notation.)(b) Find p2(4, y) and p2(7, x).What is the range of p2? (Enter your answer in set-roster notation.) Let A = {4, 5, 7} and B = {x, y}. Let p, and p, be the projections of A x B onto the first and second coordinates. That is, for each pair (a, b) E A × B, p,(a, b) =and p,(a, b) = b.(a) Find p, (4, y) and p,(7, x).P1(4, y)PĄ(7, x) =What is the range of p,? (Enter your answer in set-roster notation.)(b) Find p,(4, y) and p,(7, x).P2(4, y) =P2(7, x) =What is the range of p,? (Enter your answer in set-roster notation.)

Let A = {4, 5, 7} and B = {x, y}. Let p1 and p2 be the projections of A ✕ B onto the first and second coordinates. That is, for each pair (a, b) A ✕ B, p1(a, b) = a and p2(a, b) = b. (a) Find p1(4, y) and p1(7, x) What is the range of p1? (Enter your answer in set-roster notation.) (b) Find p2(4, y) and p2(7, x). What is the range of p2? (Enter your answer in set-roster notation.)

Let A = {4, 5, 7} and B = {x, y}. Let p1 and p2 be the projections of A ✕ B onto the first and second coordinates. That is, for each pair (a, b) A ✕ B, p1(a, b) = a and p2(a, b) = b. (a) Find p1(4, y) and p1(7, x) What is the range of p1? (Enter your answer in set-roster notation.) (b) Find p2(4, y) and p2(7, x). What is the range of p2? (Enter your answer in set-roster notation.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 21EQ

See similar textbooks

Related questions

Q: Find the abscissa of the point on the graph of y=V 2x – 1 that is parallel to the line 2x - y+1=0

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

Q: a) Find the distance between the point P=(9, 1) and the line 3x+4y=6.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Determine the value(s) of k such that the lines 2y= -kx +6 and 3y-x= 2kx+3 are parrallel.

Q: Show that these two lines are coincident. L1: [x, y, z ] = [1, 5, − 2] + s [1, 7, − 3] L2: [x, y, z…

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…

Q: Find the shortest distance, d, from the point (4, 0, –4) to the plane x + y + z = 4.

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

Q: Evaluate F- dr where F(, y, z) = (1.5yz cos(ryz), 1.5xzcos(ryz), 1.5xy cos(ryz)) and C (*) is the…

A: We need to evaluate the line integral between the two points.

Q: Evaluate where F(x, y) = x² i+(y² – x) j and C is the line segment from (2, 4) to (0, 4) followed by…

Q: Show that the perpendicular let fall from any points on the straight line 7x - 9y + 10 = 0 upon the…

A: See the details solution in below

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

Q: Let I 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 line is l:1, -1, 1+t0, 2, 1 vector…

Q: Find the distance between the point (−3, 5, 1) and the line given by x = 1 + t, y = 5 − 2t, and z =…

Q: Suppose that P is twice as far from (0, 0) as P is from (6, 0 Find such a point on the x-axis.

A: Let A0,0 and B6,0. It is given that P is twice as far from A0,0 as from B6,0. We know that if point…

Q: Suppose L, is the line through the origin in the direction of u and L2 is the line through the point…

A: For first line L1, the line passes via origin, i.e., 000 and the line is parallel to u=110, so, the…

Q: Find a relationship between x and y such that (x, y) is equidistant the same distance from the two…

A: Given points are: 4,-1 and -2,3 The distance between the points 4,-1 and x,y is: d1=x-42+y+12 The…

Q: Find the distance from point P to line L. P(3,-1,4), L: (x-4)/-1 = (y-3)/2 = (x+5)/3

Q: Find the point on the line y = 3x + 5 that is closest to the origim %3D (x, y) = %3D

A: We have to solve

Q: Separate ỷ into y and y if y is in the direction of u %3D

Q: Find a path c(t) that traces the line y = 2x + 1 from (1, 3) to (3, 7) for 0 ≤ t ≤ 1.

A: Given:

Q: Find the relationship between x and y such that point (x,y) is equidistant from the points (7,1) and…

Q: 2. Approximate f,(3,5) using the contour diagram of S(x, y) in Figure 14.9.

A: Given query is to find the value of fx(3,5).

Q: Find the shortest distance, d, from the point (6, 0, -4) to the plane x + y + z = 4.

A: The shortest distance of a point from a plane is said to be along the line perpendicular to the…

Q: Find the distance d between the points (2, 3,−1) and (4,−1, 3).

A: Given : 2,3,-1 and 4,-1,3

Q: Find the distance from the point P(-1,2,4) to the line given by x=2t y=1+t z=3t

A: Given query is to find the the distance between point and the line

Q: Show that -ydx+xdy) = x₁y₂-₂₁ where C is the line segment joining (x,y) and (x₂,₂).

A: We have to prove ∫C-ydx+xdy=x1y2-x2y1 Where C is the line segment joining x1,y1 and x2,y2 Now…

Q: The area bounded by the curve y= 4x and the lines r = 7,1 = 10 and x - aris is O 4900 square units O…

A: From the given curve bounded region is shown below: So, I=∫x=7x=10∫y=0y=4xdydx

Q: Find the value(s) of x such that the distance between the points is 5. (2, -1), (x, 2)

A: Distance between the points 2,1, x,2 is 5. use distance formula: Distance between the points…

Q: Let L, be the line passing through the point P1=(-1, -2, -2) with direction vector d-[-3, -3, 1]",…

A: L1 is the line passing through the point P1(-1 , -2, -2) with direction vectord→ = -3, -3, 1Tand L2…

Q: [a] Find the shortest distance from the point (2, -1, 4) to the straight line x = 2, y = 3+tand z =…

Q: Find the Direcctional derivatve of the function foxxy,z)=tan(xjz) aut point (t,2,4) in the direction…

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

Q: Find the relation between x and y such that the point (x,y) is equidistant from the points (7,1) and…

Q: 10. In the standard (x, y) coordinate plane, line r contains the points (6, 5) and (b,-5), and line…

A: Given problem is :

Q: Find the per pendicualar olistace from the P (5,6) to the line -2xr+3Y+4=0.

A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point (m , n…

Q: Find the line through (1,-1,1)and normal to the line 3x=2y=z , and parallel to the plance x+y-z=0…

A: Equation of the line: The equation of a line passing through the point (x0, y0, z0) is given by (x,…

Q: Let A(x,y) be the point on the line y = x + 1 that is closest to the point B(2,0). Then the square…

Q: The area bounded by the curve y = 4x and the lines r = 6 ,x = 12 and a – axis is 144 square units O…

Q: Find the shortest distance from the origin to the line of intersection of the planes 2x + y − z = 1…

A: Given: The planes: 2x+y-z=1 and x-y+z=2.

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<0If PQ→=230Then to find the true statement about…

Q: Show that f(-ydx + xdy) where C is the line segment joining (x, y) and (x₂, y2).

Q: Find the distance between the points (p, q) and (0,0)

Q: ez ds where C is the line segment from (0, 6,-1) to (4, , 5). Compute

Q: Find the distance from the point (1,1,5) to the line X=1+t, Y=3-t, Z=2t. *

Q: The area bounded by the curve y = 10z and the lines z = 9,7 = 11 and a – azis is O 1010 square units…

Q: 5. Find the distance between the point (4, 3, 1) and the line f(t) = (2x - 1, –3y + 1, 2)

Q: Let ū=(1,l02) and V=(-1,3,0), find the distance dlū,).

Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

Let A = {4, 5, 7} and B = {x, y}. Let p₁ and p₂ be the projections of A ✕ B onto the first and second coordinates. That is, for each pair (a, b) A ✕ B, p₁(a, b) = a and p₂(a, b) = b.

(a) Find p₁(4, y) and p₁(7, x)

What is the range of p₁? (Enter your answer in set-roster notation.)

(b) Find p₂(4, y) and p₂(7, x).

What is the range of p₂? (Enter your answer in set-roster notation.)

Let A = {4, 5, 7} and B = {x, y}. Let p, and p, be the projections of A x B onto the first and second coordinates. That is, for each pair (a, b) E A × B, p,(a, b) =
and p,(a, b) = b.
(a) Find p, (4, y) and p,(7, x).
P1(4, y)
PĄ(7, x) =
What is the range of p,? (Enter your answer in set-roster notation.)
(b) Find p,(4, y) and p,(7, x).
P2(4, y) =
P2(7, x) =
What is the range of p,? (Enter your answer in set-roster notation.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Cartesian Coordinates$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.