20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8) 21. The vertices of a quadrilateral are A = [0,3,5], B = [-3,-1,17], C = [4,-3,15] & D = [7,1,3]. Prove that ABCD is a parallelogram. x-1 y-2 z+1 22. Determine the value of k for which the direction vectors of the lines || = and k 2 k-1 x+3 Ꮓ y = -1 are perpendicular. -2 1
20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8) 21. The vertices of a quadrilateral are A = [0,3,5], B = [-3,-1,17], C = [4,-3,15] & D = [7,1,3]. Prove that ABCD is a parallelogram. x-1 y-2 z+1 22. Determine the value of k for which the direction vectors of the lines || = and k 2 k-1 x+3 Ꮓ y = -1 are perpendicular. -2 1
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.1: Lines And Linear Functions
Problem 37E: Use slopes to show that the quadrilateral with vertices at (1,3), (5/2,2), (7/2,4), and (2,1) is a...
Question
![20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8)
21. The vertices of a quadrilateral are A = [0,3,5], B = [-3,-1,17], C = [4,-3,15] & D = [7,1,3].
Prove that ABCD is a parallelogram.
x-1
y-2
z+1
22. Determine the value of k for which the direction vectors of the lines
||
=
and
k
2
k-1
x+3
Ꮓ
y = -1 are perpendicular.
-2
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F633dc666-1c4e-4222-82a0-1d910c7662c5%2F22c911d6-0601-4409-90ba-e66c196b49c1%2Feym4jx_processed.png&w=3840&q=75)
Transcribed Image Text:20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8)
21. The vertices of a quadrilateral are A = [0,3,5], B = [-3,-1,17], C = [4,-3,15] & D = [7,1,3].
Prove that ABCD is a parallelogram.
x-1
y-2
z+1
22. Determine the value of k for which the direction vectors of the lines
||
=
and
k
2
k-1
x+3
Ꮓ
y = -1 are perpendicular.
-2
1
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning