If ả = (–4, −8) and ☎ = (–2, −6), find |2.5ả – 36|. O 20 O 2√5 O-6 O 4√2

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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Given:

- Vector \(\mathbf{a} = \langle -4, -8 \rangle\)
- Vector \(\mathbf{b} = \langle -2, -6 \rangle\)

Find the magnitude of \(2.5\mathbf{a} - 3\mathbf{b}\).

Options to choose from:
1. \(20\)
2. \(2\sqrt{5}\)
3. \(-6\)
4. \(4\sqrt{2}\)

To find the correct answer, one needs to:
1. Calculate the expressions \(2.5\mathbf{a}\) and \(3\mathbf{b}\).
2. Subtract \(3\mathbf{b}\) from \(2.5\mathbf{a}\) to get the resultant vector.
3. Determine the magnitude of the resultant vector.
Transcribed Image Text:Given: - Vector \(\mathbf{a} = \langle -4, -8 \rangle\) - Vector \(\mathbf{b} = \langle -2, -6 \rangle\) Find the magnitude of \(2.5\mathbf{a} - 3\mathbf{b}\). Options to choose from: 1. \(20\) 2. \(2\sqrt{5}\) 3. \(-6\) 4. \(4\sqrt{2}\) To find the correct answer, one needs to: 1. Calculate the expressions \(2.5\mathbf{a}\) and \(3\mathbf{b}\). 2. Subtract \(3\mathbf{b}\) from \(2.5\mathbf{a}\) to get the resultant vector. 3. Determine the magnitude of the resultant vector.
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