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. Linear combination Let u = (1, 2, 2), v = (1, -1, -1), w = (1, 3, 1), and z = (2, 11, 8). Write z = U₁+U₂ + u3,, where u₁ is parallel to u, u₂ is parallel to v, and ug is parallel to w. What are u₁, u₂, u3? 200 km/h Find the form of the velocity of t -

. Linear combination Let u = (1, 2, 2), v = (1, -1, -1), w = (1, 3, 1), and z = (2, 11, 8). Write z = U₁+U₂ + u3,, where u₁ is parallel to u, u₂ is parallel to v, and ug is parallel to w. What are u₁, u₂, u3? 200 km/h Find the form of the velocity of t -

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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4. Linear combination Let u = (1, 2, 2), v = (1, – 1, − 1), w = (1, 3, − 1), and z - (2, 11, 8). Write z = U₁ + U₂ + 13,, where u₁ is parallel to u, u₂ is parallel to v, and ug is parallel to w. What are u₁, U₂, U3? 5. Velocity An airplane is flying in the direction 25° west of north at 800 km/h. Find the component form of the velocity of the airplane, assuming that the positive x-axis represents due east and the positive y-axis represents due north. 5. (Continuation of Example 8.) What speed and direction should the jetliner in Example 8 have in order for the resultant vector to be 500 mph due east? 7. Consider a 100-N weight suspended by two wires as shown in the accompanying figure. Find the magnitudes and components of I and W
Transcribed Image Text:4. Linear combination Let u = (1, 2, 2), v = (1, – 1, − 1), w = (1, 3, − 1), and z - (2, 11, 8). Write z = U₁ + U₂ + 13,, where u₁ is parallel to u, u₂ is parallel to v, and ug is parallel to w. What are u₁, U₂, U3? 5. Velocity An airplane is flying in the direction 25° west of north at 800 km/h. Find the component form of the velocity of the airplane, assuming that the positive x-axis represents due east and the positive y-axis represents due north. 5. (Continuation of Example 8.) What speed and direction should the jetliner in Example 8 have in order for the resultant vector to be 500 mph due east? 7. Consider a 100-N weight suspended by two wires as shown in the accompanying figure. Find the magnitudes and components of I and W
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