#17 part b 4. u+2v5. 2v -u6-15. Working with vectors Let u = (2, 4,-5), v = (-6, 10, 2), andw = (4,-8, 8).6. Compute u – 3v.7. Compute |u+v[.8. Find the unit vector with the same direction as u.9. Write the vector w as a product of its magnitude and a unit vector inthe direction of w.10. Find a vector in the direction of w that is 10 times as long as w.11. Find a vector in the direction of w with a length of 10.12. Compute u · v13. Compute u × v14. For what value of a is the vector v orthogonal to y= (a, 1, –3)?15. For what value of a is the vector w parallel to y =(a, 6, –6)?16. Scalar multiples Find scalars a, b, and c such that(2, 2, 2) = a(1, 1, 0) + b(0, 1, 1) + c(1, 0, 1).17. Velocity vectors Assume the positive x-axis points east and thepositive y-axis points north.a. An airliner flies northwest at a constant altitude at 550 mi/hr incalm air. Find a and b such that its velocity may be expressed inthe form v = ai + bj.b. An airliner flies northwest at a constant altitude at 550 mi/hrrelative to the air in a southerly crosswind w =(0, 40). Findthe velocity of the airliner relative to the ground.18. Position vectors Let PQ extend from P(2, 0, 6) to Q(2, –8, 5).a. Find the position vector equal to PQ.b. Find the midpoint M of the line segment PQ. Thend themagnitude of PM.C. Find a vector of length 8 with direction opposite to that of PQ.Back to page 867s and balls Use set notation to describe the following sets.

Answered: b. An airliner flies northwest at a…

b. An airliner flies northwest at a constant altitude at 550 mi/hr relative to the air in a southerly crosswind w = (0, 40). Find the velocity of the airliner relative to the ground.

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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