Chapter 3: Vectors

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Pages: 40 - 61

Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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88 Questions for Chapter 3: Vectors

Find the (a)x, (b)y, and (c)zcomponents of the sum of the displacements and whose components in meters are cx=7.4,cy=‐3.8,cz=‐6.1;dx=4.4,dy=‐2.0,dz=3.3

Found on Page 57
(a) In unit-vector notation, what is the sum a→+b→ if a→=(4.0m)i^+(3.0m)j^and b→=(-13.0m)i^+(7.0m)j^? What are the (b) magnitude and (c) direction of a→+b→?

Found on Page 57
In a game held within a three dimensional maze, you must move your game piece from start, at xyz coordinates (0,0,0), to finish, at coordinates (-2cm,4cm,-4cm).The game piece can undergo only the displacements (in centimeters) given below. If, along the way, the game piece lands at coordinates(-5cm,-1cm,-1cm)or (5cm,2cm,-1cm), you lose the game. Which displacements and in what sequence will get your game piece to finish?

Found on Page 56
A car is driven east for a distance of 50 km, then north for 30 km, and then in a direction 30°east of north for 25 km . Sketch the vector diagram and determine (a) the magnitude and (b) the angle of the car’s total displacement from its starting point.

Found on Page 57
A person desires to reach a point that is3.40kmfrom her present location and in a direction that is3.50°north of east. However, she must travel along streets that are oriented either north–south or east–west. What is the minimum distance she could travel to reach her destination?

Found on Page 57
Which of the following are correct (meaningful) vector expressions? What is wrong with any incorrect expression?

Found on Page 56
You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy coordinate system and ending at the xy coordinates (-140 m,30 m . The x component and y component of your moves are the following, respectively, in meters:(20 and 60) , then (bxand-70), then (-20 andsy) , then (-60 and -70) . What are (a) component and (b) component ? What are (c) the magnitude and (d) the angle (relative to the positive direction of the x axis) of the overall displacement?

Found on Page 57
The two vectors a→andb→in Fig.3.28 have equal magnitudes of 10.0mand the angles are θ=30°and θ=105°. Find the (a) x and (b) y components of their vector sumr→, (c) the magnitude of r→, and (d) the angler→makes with the positive direction of the x axis

Found on Page 57
For the displacement vectors a→=(3.0m)i⏜+(4.0m)j⏜and b→=(5.0m)i⏜+(-2.0m)j⏜, give a→+b→in (a) unit-vector notation, and as (b) a magnitude and (c) an angle (relative to i⏜). Now give b→-a→in (d) unit-vector notation, and as (e) a magnitude and (f) an angle.

Found on Page 57
Three vectors a→,b→andc→each have a magnitude of 50mand lie in an xy plane. Their directions relative to the positive direction of the x axis are 30°,195°, and 315°, respectively. What are (a) the magnitude and (b) the angle of the vector localid="1656259759790" a→+b→+c→, and (c) the magnitude and (d) the angle of a→+b→+c→ ? What are the (e) magnitude and (f) angle of a fourth vector d→ such that (a→+b→)-(c→+d→)=0?

Found on Page 57

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Chapter 3: Vectors

Fundamentals Of Physics

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88 Questions for Chapter 3: Vectors

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