Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
100%
![The image presents a problem involving the dot product of two vectors. Here is the transcription of the text:
---
**Problem Statement:**
Let \(\vec{a} = \langle 4, -5, -4 \rangle\) and \(\vec{b} = \langle 2, -5, 0 \rangle\).
Find \(\vec{a} \cdot \vec{b}\).
---
**Solution Box:** (A blank space is provided for the solution to be filled in).
In this problem, you need to calculate the dot product of two given vectors \(\vec{a}\) and \(\vec{b}\). The dot product of vectors \(\vec{a} = \langle a_1, a_2, a_3 \rangle\) and \(\vec{b} = \langle b_1, b_2, b_3 \rangle\) is given by the formula:
\[
\vec{a} \cdot \vec{b} = a_1 \cdot b_1 + a_2 \cdot b_2 + a_3 \cdot b_3
\]
Substitute the given vector components into this formula to find the dot product.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55d3466e-6a31-4aff-972b-e33941523058%2Fbab5c8f0-1baf-4c16-9f82-97c20431fad3%2Fbrxt3m_processed.png&w=3840&q=75)
Transcribed Image Text:The image presents a problem involving the dot product of two vectors. Here is the transcription of the text:
---
**Problem Statement:**
Let \(\vec{a} = \langle 4, -5, -4 \rangle\) and \(\vec{b} = \langle 2, -5, 0 \rangle\).
Find \(\vec{a} \cdot \vec{b}\).
---
**Solution Box:** (A blank space is provided for the solution to be filled in).
In this problem, you need to calculate the dot product of two given vectors \(\vec{a}\) and \(\vec{b}\). The dot product of vectors \(\vec{a} = \langle a_1, a_2, a_3 \rangle\) and \(\vec{b} = \langle b_1, b_2, b_3 \rangle\) is given by the formula:
\[
\vec{a} \cdot \vec{b} = a_1 \cdot b_1 + a_2 \cdot b_2 + a_3 \cdot b_3
\]
Substitute the given vector components into this formula to find the dot product.
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: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning