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5. Find d(R, L) if L: v=(7,3)+(2,2) * last night's HW

5. Find d(R, L) if L: v=(7,3)+(2,2) * last night's HW

Calculus: Early Transcendentals
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...
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I need help with number 5

# Analytic Geometry / Calculus ## Vector Worksheet 5 **Given:** - **L₁:** \(\vec{v} = \langle -1, 2 \rangle + t \langle 1, 1 \rangle\) - **L₂:** \(\vec{v} = \langle 0, 3 \rangle + t \langle -2, 3 \rangle\) - **L₃:** \(\vec{v} = \langle 1, 3 \rangle + t \langle -1, 2 \rangle\) **Problems:** 1. Find \(L₁ \cap L₂\) 2. Find \(L₂ \cap L₃\) 3. Find \(L₄\) parallel to \(L₁\): \(d(L₄, L₁) = 3\sqrt{2}\) 4. Find \(L₅\) parallel to \(L₃\): \(d(L₅, L₃) = 4\sqrt{5}\) 5. Find \(d(L₁, L₆)\) if \(L₆: \vec{v} = \langle 7, 3 \rangle + t \langle 2, 2 \rangle\) *Note: last night's homework*
Transcribed Image Text:# Analytic Geometry / Calculus ## Vector Worksheet 5 **Given:** - **L₁:** \(\vec{v} = \langle -1, 2 \rangle + t \langle 1, 1 \rangle\) - **L₂:** \(\vec{v} = \langle 0, 3 \rangle + t \langle -2, 3 \rangle\) - **L₃:** \(\vec{v} = \langle 1, 3 \rangle + t \langle -1, 2 \rangle\) **Problems:** 1. Find \(L₁ \cap L₂\) 2. Find \(L₂ \cap L₃\) 3. Find \(L₄\) parallel to \(L₁\): \(d(L₄, L₁) = 3\sqrt{2}\) 4. Find \(L₅\) parallel to \(L₃\): \(d(L₅, L₃) = 4\sqrt{5}\) 5. Find \(d(L₁, L₆)\) if \(L₆: \vec{v} = \langle 7, 3 \rangle + t \langle 2, 2 \rangle\) *Note: last night's homework*
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