/*! 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} Q21CP Write the vector a鈬赌=400,200,-1... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q21CP (page 40)

Write the vector a鈬赌=400,200,-100m/s2 as the product a鈬赌-a鈬赌.

Short Answer

Expert verified

The required product isa鈬赌=a鈬赌=10021421,221,121 .

Step by step solution

01

Step 1: Definition of the magnitude of a vector 

The magnitude of a vectorhaving coordinates x,y,z is written as:.

a鈬赌=x2+y2+z2

The unit vector in the direction of a vector is the vector divided by its magnitude, which is given by:

.a鈬赌=a鈬赌a鈬赌

02

Calculation of magnitude of the vector

Substitute x=400,y=200andz=100into the formula of magnitude to get the magnitude of the vector .

a鈬赌=4002+2002+-1002=10021

03

Calculating unit vector

Divide the given vector by its magnitude to get its unit vector.

The unit vector in the direction of a vector is the vector divided by its magnitude:

a鈬赌=400,200,-10010021=421,221,121

04

Calculating the Product of magnitude and the unit vector

Multiply the obtained magnitude by the obtained unit vector to get the required result.

a鈬赌=a鈬赌=10021421,221,121

Thus, the answer a鈬赌-a鈬赌is10021421,221,121.

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

You stand at location r鈫�=2,-3,5m. Your friend stands at location r鈫�2. What is your friend鈥檚 position vector?

A tennis ball of mass m travelling with velocity (vx, 0,0) hits a ball and rebounds with velocity (鈥搗x,0,0).

(a) what was the change in momentum of the tennis ball?

(b) What was the change in magnitude of the momentum of the tennis ball?

Question: In the periodic table on the inside front cover of this book (or one you find on the internet), for each element there is given the "atomic number," the number of protons or electrons in an atom, and the "atomic mass," which is essentially the number of nucleons, protons plus neutrons, in the nucleus, averaged over the various isotopes of the element, which differ in the number of neutrons. Make a graph of the number of neutrons vs. the number of protons in the elements. You needn't graph every element, just enough to see the trend. What do you observe about the data? (This reflects the need for more neutrons in proton-rich nuclei in order to prevent the electric repulsion of the protons of each other from destroying the nucleus.)

A proton is located at (xp,yP,zP). An electron is located at (xe,ye,ze). What is the vector pointing from the electron to the proton? What is the vector pointing from the proton to the electron?

(a) Consider the vectors r鈫�1and r鈫�2represented by arrows in Figure 1.20. Are these two vectors equal? (b) If a鈫�=400,200,-100m/s2,and c鈫�=a鈫�, what is the unit vector c^in the direction of c鈫�?
See all solutions

Recommended explanations on Physics Textbooks

Famous Physicists

Read Explanation

Work Energy and Power

Read Explanation

Wave Optics

Read Explanation

Dynamics

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Further Mechanics and Thermal 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.