Question: Let A(Vector) represent any nonzero vector. Why is A(Vector)/A a unit vector, and what is its direction? If is the angle that A(Vector) makes

Let A̅(Vector) represent any nonzero vector. Why is A̅(Vector)/A a unit vector, and what is its direction? If θ is the angle that A̅(Vector) makes with the +x-axis, explain why (A̅(Vector) /A) ∙ î is called the direction cosine for that axis.

Step by Step Solution

★★★★★

3.50 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The magnitude of AA is AA 1 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related University Physics Questions!

Show that (vector k vector r, t) may represent a plane wave where vector k is normal to the wavefront. [Let vector r 1 and vector r 2 be position vectors drawn to any two points on the plane and show...

Let (1, 0) and (0, 1) represent the unit vectors along the x and y directions, respectively. The operator Effects a rotation in the x-y plane. Show that the length of an arbitrary vector which is...

Let A be an arbitrary vector, and let e be a unit vector in some fixed direction. Show that A = e(A e) + e x (A x e) what is the geometrical significance of each of the two terms of the expansion?

Now half of python code is given, and i have to expand that code, according to the questions requirement. Python code is in picture below 3. This should be done in python. During volcanic eruptions,...

LAB 1: VECTORS AND GEOMETRY, PART A (c)2017 UM Math Dept licensed under a Creative Commons By-NC-SA 4.0 International License. 1. Objectives and Expectations for Lab 1, Part A In Part A of Lab 1, our...

1. Calvin is flying an airplane. His velocity with respect to the air around him is 78.0 m/s south. The air is also moving with a velocity of 12.4 m/s east. To an observer on the ground, what is the...

Chapter Thirteen A FUNDAMENTAL TOOL: VECTORS Contents 13.1 Displacement Vectors . . . . . . . . . . . . 686 Notation and Terminology . . . . . . 686 Addition and Subtraction of Displacement Vectors ....

Please help! 3.4 Projectile Motion 27 .A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base of the building. Ignore air resistance. (a) How long is the ball...

AutoSave O Off) 15 - 7) - Lab 3 -Vector Addition Virtual Lab (1) . Saved to this PC . Search (Alt+Q) Krocker, Kassidy P KK X File Home Insert Draw Design Layout References Mailings Review View Help...

i need help with these, thank you 1.20 (Challenge) Magnitude of the vector v. Show work. (Section 2.9) Knowing the angle between a unit vector i and unit vector j is 120, calculate a numerical value...

UCD (U.S. based MNC) will receive 250,000 euros in one year. The spot exchange rate today is $1.20 per euro. It observes that 1. The one-year interest rate for euros is 8%, and the one-year interest...

Given the rapid rate of change in both information technologies and business environments, do you believe that extensive information resource planning efforts are worthwhile for most organizations?...

There are several major developments in Finance theory. Explain any four such developments and for each give a brief of key features, the researchers who contributed to the development and critique...

What are the advantages of microwave drying?

For the two vectors in Fig. 1.35, (a) Find the magnitude and direction of the vector product A X B; (b) Find the magnitude and direction of B X A.

An acre, a unit of land measurement still in wide use, has a length of one furlong (1 mi) and a width one-tenth of its length. (a) How many acres are in a square mile? (b) How many square feet are in...

An Earthlike Planet In January 2006, astronomers reported the discovery of a planet comparable in size to the earth orbiting another star and having a mass of about 5.5 times the earth's mass. It is...

Your company has earnings per share of $4. It has 1 million shares outstanding, each of which has a price of $42. You are thinking of buying TargetCo, which has earnings of $3 per share, 1 million...

Aluminum Building Products Company (ABPC) is considering investing in either of the two mutually exclusive projects described as follows: Project 1. Buying a new set of roll-forming tools for its...

Here's the Taylor series of expansion about where the terms of order 2 and higher have been discarded to create a linear approximation to . This operation is easy for basic functions such as . When...