The intersection of the two planes given by the vector equations -2 r. -2 = -5 -1 and -4 r. -4 = -2 -2 is Select one: a. a plane b. the line 6x = y-1=z c. a line passing through the point (1,1,1) d. a point e. the empty set

The intersection of the two planes given by the vector equations -2 r. -2 = -5 -1 and -4 r. -4 = -2 -2 is Select one: a. a plane b. the line 6x = y-1=z c. a line passing through the point (1,1,1) d. a point e. the empty set

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: The vector h = 16 -25 can be written as a linear combination of h 3 -5 -12 and 2 B -3. Find the…

Q: Find an equation for the plane through the point (0, –4, 5) which is perpendicular to the line…

Q: bugi nе pom the equa that passes 2,1), 2(0, 2, 3) the d P3(−2, −1, −5). Then, find the distance from…

Q: Use the vector w= (20, -15) ||w||-19 ||w||-19=

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Find the equation of the plane containing the three points (1, 2, -4), (10, -1, 2), (10, 0, 4) in…

Q: Determine the equation of the plane containing the point and the line. (-7, 10,-3), r(t) = (1 − 4t,…

Q: A rocket ship in space is not moving. The ship's crew performs a rocket burn which can be described…

A: The objective of the question is to understand the concept of vector addition and subtraction in the…

Q: 2. Let G and H be the points G (4, 5) and H(11, -8). 2a Find the vector HG in component form: HG 4…

Q: Graph each of the points: A (-2, 6); B (5, 3); C (3,-3); and D (-4, 0). Draw a vector from the…

A: To determine the length and angle made by the vectors, we will use the distance formula and the…

Q: For each pair, determine if the planes are parallel, orthogonal, or neither. Explain your answer.…

A: The normal vector of a plane is a vector that is perpendicular to the plane. It can be found by…

Q: Find the equation of the plane that passes through (2, 5,9) and is parallel to x + y + z = 4.…

A: We have to find the equation of plane that is passing through the point (2, 5, 9) and is parallel to…

Q: 2) The diagram shows two squares. Name a single vector equivalent to each expression. B M F E D a)…

A: Given

Q: Find an equation of the plane passing through the three points given P = (2,4, 2), Q = (4, 10, 10),…

Q: 3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0)…

A: Equation of line in 3D

Q: 1. Draw the vector V that goes from the origin to the point (-4, -6). (a) Find V (b) Write V in…

Q: Find the equation of the plane that passes through the points A(2, —1, 2), B(1,1, 8) and C(2, 0,…

Q: The plane II contains the points (1,2,3), (0.1.2) and (2,3,0). The line L passes through the points…

Question

The intersection of the two planes given by the vector equations
-2
r.
-2
= -5
-1
and
-4
r.
-4
= -2
-2
is
Select one:
a. a plane
b. the line 6x = y-1=z
c. a line passing through the point (1,1,1)
d. a point
e. the empty set

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Translations$

Learn more about

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

Similar questions

Let a₁ = -4, a₂ = 3 and b = " Is b a linear combination of a₁ and a₂? OA. b is not a linear combination. B. Yes b is a linear combination. C. We cannot tell if b is a linear combination. b= -7 -B -13 -8 Either fill in the coefficients of the vector equation, or enter "NONE" if no solution is possible. a₁+ a2
Write a vector equation LEHEHEHEI y+ that is equivalent to the system of equations: -5 x 6 x + 2x + x+ 2 y 6 y 4 y T I + 5 z = 3 z 8 z = = -4 2 2 =
Given vectors a = (-3,1,2), b = (4,0,-8), c = (6,-1,4) find a vector d that satisfies4a - 2b + 2d = 14d + 2c
Find an equation of the plane. The plane that passes through (7, 0, −2) and contains the line x = 5 − 2t, y = 1 + 3t, z = 3 + 2t -2x+31y-7z=2 This was my answer but its wrong i need help
For each pair, determine if the planes are parallel, orthogonal, or neither. Explain your answer. Set One: 2x+2y+2z=5 -2x-3y+5z=5 Set Two: 3x+3y-3z=4 -x-y+z=5 Set Three: 5x+6y+2z=2 -x+2y+5z=13
Find an equation of the plane that contains the two parallel lines and x −1 y + 1 3 2 x + 3 3 y - 4 2 Z-5 4 Z 4
Determine the point of intersection between the line and the plane. x = -8 + 8t, y = -8 - 5t, z = 4 + 8t; 10x + 9y - 6z = 2 O (0, -13, 4) 1276 72,- 58,- 13 (-16, -3, -12) O (-8, 42, - 84)
The intersection of the two planes given by the vector equations -3 r. {} -2 2 and r. is 9 -4 = -2 4 a. a line passing through the point (1,1,1) b. a plane c. the empty set d. the line 11x=y-1 =z e. a point
a. Write the vector (8, 5, 30) as a linear combination of a₁ = (4, -4,1), d₂ = (4, -5, 5) and d3 = (0, -4,-4). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ +52 + 6ả3, which would be entered as 4a1 + 5a2 + 6a3. (8,5, 30) = b. Represent the vector (8,5,30) in terms of the ordered basis B = {(4,-4, 1), (4, −5, 5), (0, -4,-4)}. Your answer should be a vector of the general form . [(8, 5, 30)] B =