Let a = (7, 5) and b = (-4, 6). Compute the dot product.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
![The task is to compute the dot product of two vectors, \(\vec{a}\) and \(\vec{b}\).
\[
\text{Let } \vec{a} = \langle 7, 5 \rangle \text{ and } \vec{b} = \langle -4, 6 \rangle. \text{ Compute the dot product.}
\]
\[
\vec{a} \cdot \vec{b} = \Box
\]
To find the dot product, use the formula:
\[
\vec{a} \cdot \vec{b} = a_1 \cdot b_1 + a_2 \cdot b_2
\]
where \(a_1\) and \(a_2\) are components of \(\vec{a}\), and \(b_1\) and \(b_2\) are components of \(\vec{b}\). Insert the values to compute the result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a5a9e76-fe13-4ee9-bb36-e44a23423bab%2Fe9918f44-f052-43fc-acab-cbde86e305d8%2Fadslltk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The task is to compute the dot product of two vectors, \(\vec{a}\) and \(\vec{b}\).
\[
\text{Let } \vec{a} = \langle 7, 5 \rangle \text{ and } \vec{b} = \langle -4, 6 \rangle. \text{ Compute the dot product.}
\]
\[
\vec{a} \cdot \vec{b} = \Box
\]
To find the dot product, use the formula:
\[
\vec{a} \cdot \vec{b} = a_1 \cdot b_1 + a_2 \cdot b_2
\]
where \(a_1\) and \(a_2\) are components of \(\vec{a}\), and \(b_1\) and \(b_2\) are components of \(\vec{b}\). Insert the values to compute the result.
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