/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q42E (I)聽(a) Find the scalar product... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q42E (page 29)

(I)(a) Find the scalar product of the vectors A鈫� and B鈫�given in Exercise 1.38. (b) Find the angle between these two vectors.

Short Answer

Expert verified

The angle between these two vector is1.43掳

Step by step solution

01

Given data

A鈫�=4.00i^+7.00j^

B鈫�=5.00i^-2.00j^
02

The scalar product of vector           

a.b = 4.00i^+7.00j^.5.00i^-2.00j^

=4脳5+7脳-2=20-14=6


03

The angle between two vector 

The magnitude of vector is,

|A鈨�|=鈭�(42+72)=鈭�65=8.06|B鈨�|=鈭�(52+22)=鈭�29=5.3

The angle between the two vector is,

胃=cos-1a鈫�.b鈫�a鈫�b鈫�

cos-1= 68.065.3

=cos-10.1399

胃=1.43掳

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Can you find a vector quantity that has a magnitude of zero but components that are not zero? Explain. Can the magnitude of a vector be less than the magnitude of any of its components? Explain.

Can you find two vectors with different lengths that have a vector sum of zero? What length restrictions are required for three vectors to have a vector sum of zero? Explain.

A swimming pool is 5.0 m long, 4.0 m wide, and 3.0 m deep. Compute the force exerted by the water against (a) the bottom and (b) either end. (Hint: Calculate the force on a thin, horizontal strip at a depth h, and integrate this over the end of the pool.) Do not include the force due to air pressure.

The following conversions occur frequently in physics and are very useful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mph to units of ft/s. (b) The acceleration of a freely falling object is 32 ft/s2. Use 1 ft = 30.48 cm to express this acceleration in units of m/s2. (c) The density of water is 1.0 g/cm3. Convert this density to units of kg/m3.

Equation (12.7) shows that an area ratio of 100 to 1 can give 100

times more output force than input force. Doesn鈥檛 this violate conservation

ofenergy? Explain.
See all solutions

Recommended explanations on Physics Textbooks

Rotational Dynamics

Read Explanation

Mechanics and Materials

Read Explanation

Fluids

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Physics of Motion

Read Explanation

Nuclear Physics

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.