Zha begins 7 kilometers to the north of town, and rides his bike along a straight trail which leads to a park 3 kilometers west of town. He takes 20 minutes to cover this distance. • Write a vector in component form describing Zha's bike ride. • Find the magnitude and direction of this vector. • Find the component of Zha's motion which is in the direction "southwest". (Use a unit vector to represent this direction.) Use both forms of the dot product (algebraic and geometric) to compute this, and compare to be sure you get the same answer both wayS

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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Zha begins 7 kilometers to the north of town, and rides
his bike along a straight trail which leads to a park 3
kilometers west of town. He takes 20 minutes to cover
this distance.
• Write a vector in component form describing Zha's
bike ride.
• Find the magnitude and direction of this vector.
• Find the component of Zha's motion which is in the
direction "southwest". (Use a unit vector to
represent this direction.) Use both forms of the dot
product (algebraic and geometric) to compute this,
and compare to be sure you get the same answer
both ways.
Transcribed Image Text:Zha begins 7 kilometers to the north of town, and rides his bike along a straight trail which leads to a park 3 kilometers west of town. He takes 20 minutes to cover this distance. • Write a vector in component form describing Zha's bike ride. • Find the magnitude and direction of this vector. • Find the component of Zha's motion which is in the direction "southwest". (Use a unit vector to represent this direction.) Use both forms of the dot product (algebraic and geometric) to compute this, and compare to be sure you get the same answer both ways.
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