Answered: Prove using vectors that the points… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.1: Rectangular Coordinate Systems

Problem 15E

See similar textbooks

Related questions

Question

I need the answer as soon as possible

Prove using vectors that the
points represent the vertices
of a triangle then
(1) Find the area of the triangle
and indicate its type.
A(1,-2,-2), B(-2,1,-2), C(-2,-2,1).
About the straight
C(-2,-2,1), B(-2,1,-2) line through the points
*R (2) find after
the point
A(1,-2, -2):

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from a point P to the line L is equal to the length of the component of the vector V that is orthogonal to the vector V. • A Use the method above to find the distance from the point P(-3,1,12) to the line through A(1,1, 0) and B(-2, 3, —4). NOTE: Enter the exact answer. Distance =
Find the area of the parallelogram that has the given vectors u = ⟨2, −1, 0⟩, v = ⟨−1, 2, 0⟩ as adjacent sides. Use a computer algebra system or a graphing utility to verify your result.
Cross-product of vectors ⟨2,−1,3⟩×2⟨4,2,1⟩=?
Determine the area of the triangle with the following vertices: (-3, 7, -1), (-10, -2, -1) and (5, 5, 0). Then determine both unit vectors orthogonal to the plane contaning the triangle (determine the orthogonal vectors)
Find the distance between the line L1 through the points A(1, 0, -1) and B(-1, 1, 0) and the line L2 through the points C(3, 1, -1) and D(4, 5, -2). The distance is to be measured along the line perpendicular to the two lines. First find a vector n perpendicular to both lines. Then project vectorAC onto n.
A triangle PQR in 3D-space has vertices P(1,2,3), Q(5,4,2), R(0,5,5). Use vectors to decide which one of the following properties the triangle has. Explain, please.Possible answers: 1. right angled at R2. not right angled at P, Q, or R3. right angled at P4. right angled at Q
Decide the dependence or independence of(a) the vectors (1, 3, 2) and (2, 1, 3) and (3, 2, 1)(b) the vectors (1, -3, 2) and (2, 1, -3) and (-3, 2, 1).
Find the area of the parallelogram that has the given vectors u = j, v = j + k as adjacent sides. Use a computer algebra system or a graphing utility to verify your result.
Vectors are drawn from the center of a regular n-sided polygon in the plane to the vertices of the polygon. Show that the sum of the vectors is zero. (Hint: What happens to the sum if you rotate the polygon about its center?)
3.Vector (3, −7, 5) is normal to a plane P and point (0, 0, −2) is in the plane.Provide equation of P
Find the area of the parallelogram that has the given vectors u = i + j + k, v = j + k as adjacent sides. Use a computer algebra system or a graphing utility to verify your result.
Vectors are drawn from the center of a regular n-sided polygon in the plane to the vertices of the polygon. Show that the sum of the vectors is zero.

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS