Let a be a vector of length 2, and be a vector of length 3. Which of the following statements is the most accurate about the dot product a bas the angle between the two vectors changes? Oaa-b gets larger as the angle between a and b widens, from a minimum of -6 when the angle is 0. to a maximum of 6 when the angle is T- Oba-b gets smaller as the angle between a and b widens, from a maximum of 6 when the angle is 0, to a minimum of - 6 when the angle is T. Oca-bisa number between O and 6. It is smallest, with a value of 0, when a and b are at an angle of O or A, and biggest, with a value of 6, when the angle between a and b is 1/2- Oda- bisa number between O and 6. It is biggest, with a value of 6, when a and b are at an angle of O or , and smallest, with a value of 0, when the angle between a and b is A/2. Oe None of the other choices.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 9OQ
icon
Related questions
Question
Need to be solve all Three multiple choice questions correctly please show your work and solve all three
QUESTION 1
Let a be a vector of length 2, and b be a vector of length 3. Which of the following statements is the most accurate about the dot product a b. as the angle between the two vectors changes?
O a.a- b gets larger as the angle between a and b widens, from a minimum of -6 when the angle is 0. to a maximum of 6 when the angle is T.
O b.a- b gets smaller as the angle between a and b widens, from a maximum of 6 when the angle is 0, to a minimum of -6 when the angle is T.
Oca- bis a number between O and 6. It is smallest, with a value of 0, when a and b are at an angle of O or , and biggest, with a value of 6, when the angle between a and b is 1/2:
O d.a bi
sa number between O and 6. It is biggest, with a value of 6, when a and b are at an angle of O or T, and smallest, with a value of 0, when the angle between a and b is A/2.
O e. None of the other choices.
QUESTION 2
What is the most accurate geometric description of proina?
O a. The length of the portion of the vector b that points in the direction of a
O b. The length of the portion of the vector a that points in the direction of b.
OC The vector "shadow of b along a.
Od.The vector "shadow" of a along b.
QUESTION 3
Suppose that the origin is on a piece of paper.
which direction does it point?
is a vector going from the origin to the right, and b is a vector starting from the origin and pointing straight out of the page towards you. Ifbx a starts at the origin, in
O a. Left.
O b.Down.
Oc Up.
Od Iinto the page (away from you).
bxa=0
Transcribed Image Text:QUESTION 1 Let a be a vector of length 2, and b be a vector of length 3. Which of the following statements is the most accurate about the dot product a b. as the angle between the two vectors changes? O a.a- b gets larger as the angle between a and b widens, from a minimum of -6 when the angle is 0. to a maximum of 6 when the angle is T. O b.a- b gets smaller as the angle between a and b widens, from a maximum of 6 when the angle is 0, to a minimum of -6 when the angle is T. Oca- bis a number between O and 6. It is smallest, with a value of 0, when a and b are at an angle of O or , and biggest, with a value of 6, when the angle between a and b is 1/2: O d.a bi sa number between O and 6. It is biggest, with a value of 6, when a and b are at an angle of O or T, and smallest, with a value of 0, when the angle between a and b is A/2. O e. None of the other choices. QUESTION 2 What is the most accurate geometric description of proina? O a. The length of the portion of the vector b that points in the direction of a O b. The length of the portion of the vector a that points in the direction of b. OC The vector "shadow of b along a. Od.The vector "shadow" of a along b. QUESTION 3 Suppose that the origin is on a piece of paper. which direction does it point? is a vector going from the origin to the right, and b is a vector starting from the origin and pointing straight out of the page towards you. Ifbx a starts at the origin, in O a. Left. O b.Down. Oc Up. Od Iinto the page (away from you). bxa=0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Height and distance
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning