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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Question

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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