Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Q9CP (page 17)

(a) A unit vector lies in the plane, at an angle of from theaxis, with a positivecomponent. What is the unit vector? (It helps to draw a diagram.) (b) A string runs up and to the left in theplane, making an angle of to the vertical. Determine the unit vector that points along the string.

Short Answer

Expert verified
  1. The unit vector is .
  2. The unit vector is .

Step by step solution

01

Definition of unit vector

A vector is a quantity that has both a magnitude and a direction associated with it. A unit vector is a vector with a magnitude of one. Unit vectors form the basis of vector calculus.

Unit vector given by the direction cosines is .

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

At a certain instant, a ball passes location (7,21,-17)m.In the next 3s,the ball’s average velocity is(-11,42,-11)m/s. At the end of this 3s time interval, what is the height y of the ball?

An electron with a speed of 0.95c is emitted by a supernova, where c is the speed of light. What is the magnitude of the momentum of this electron?

(a) Which of the following do you see moving with constant velocity? (1) A ship sailing northeast at a speed of 5 meters per second (2) The Moon orbiting the Earth (3) A tennis ball traveling across the court after having been hit by a tennis racket (4) A can of soda sitting on a table (5) A person riding on a Ferris wheel that is turning at a constant rate. (b) In which of the following situations is there observational evidence for significant interaction between two objects? How can you tell? (1) A ball bounces off a wall with no change in speed. (2) A baseball that was hit by a batter flies toward the outfield. (3) A communications satellite orbits the Earth. (4) A space probe travels at constant speed toward a distant star. (5) A charged particle leaves a curving track in a particle detector.

A proton travelling with a velocity of 3×105,2×105,-4×105m/spasses the origin at a time 9.0 s after a proton detector is turned on. Assuming that the velocity of the proton does not change, what will be its position at time 9.7 s?

Why do we use a spaceship in outer space, far from other objects, to illustrate Newton's first law? Why not a car or a train? (More than one of the following statements may be correct.) (1) A car or train touches other objects, and interacts with them. (2) A car or train can't travel fast enough. (3) The spaceship has negligible interactions with other objects. (4) A car or train interacts gravitationally with the Earth. (5) A spaceship can never experience a gravitational force.
See all solutions

Recommended explanations on Physics Textbooks

Oscillations

Read Explanation

Circular Motion and Gravitation

Read Explanation

Measurements

Read Explanation

Physical Quantities And Units

Read Explanation

Famous Physicists

Read Explanation

Radiation

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free