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Q. 27

Expert-verified

Found in: Page 77

Book edition 9th Edition

Author(s) Raymond A. Serway, John W. Jewett

Pages 1624 pages

ISBN 9781133947271

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Short Answer

Find a vector that points in the same direction as the vector $(\hat{ı} + \hat{ȷ})$ and whose magnitude is $1$ .

The vector in the same direction as the vector $(\hat{ı} + \hat{ȷ})$ and whose magnitude is one is $(\hat{ı} + \hat{ȷ})$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

Consider the vector $(\hat{ı} + \hat{ȷ})$ .

Step 2. The required vector

The given vector is $(\hat{ı} + \hat{ȷ})$ .

Its magnitude is one.

So, dividing the vector by one, we get, $(\hat{ı} + \hat{ȷ})$ .

Most popular questions for Physics Textbooks

Let $\vec{A} = 60.0 cm$ at $270 °$ measured from the horizontal. Let data-custom-editor="chemistry" $\vec{B} = 80.0 cm$ at some angle $θ$ .

(a)Find the magnitude of $\vec{A} + \vec{B}$ as a function of .

(b) From the answer to part (a), for what value of $θ$ does data-custom-editor="chemistry" $| \vec{A} + \vec{B} |$ take on its maximum value? What is this maximum value?

(c) From the answer to part (a), for what value of $θ$ does $| \vec{A} + \vec{B} |$ take on its minimum value? What is this minimum value?

(d) Without reference to the answer to part (a), argue that the answers to each of parts (b) and (c) do or do not make sense.

Vector $\vec{A}$ has a negative x component 3.00 units in length and a positive y component 2.00units in length. (a) Determine an expression for $\vec{A}$ in unit-vector notation. (b) Determine the magnitude and direction of $\vec{A}$ . (c) What vector $\vec{B}$ when added to $\vec{A}$ gives a resultant vector with no x component and a negative y component 4.00 units in length?

What is the x component of the vector shown in Figure OQS.9?

(a) 8 cm

(b) 6 cm

(c) -4 cm

(d) -6 cm

(e) none of those answers

Can the magnitude of a vector have a negative value? Explain.

A book is moved once around the perimeter of a tabletop with the dimensions 1.0m by 2.0m.The book ends up at its initial position.

(a) What is its displacement?

(b) What is the distance travelled?

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Physics For Scientists & Engineers

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Short Answer

Find a vector that points in the same direction as the vector $(\hat{ı} + \hat{ȷ})$ and whose magnitude is $1$ .

Step by Step Solution

Step 1. Given information

Step 2. The required vector

Most popular questions for Physics Textbooks

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Physics For Scientists & Engineers

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Short Answer

Find a vector that points in the same direction as the vector (ı^+ȷ^) and whose magnitude is 1.

Step by Step Solution

Step 1. Given information

Step 2. The required vector

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Find a vector that points in the same direction as the vector $(\hat{ı} + \hat{ȷ})$ and whose magnitude is $1$ .