Magnitude - vector, Mathematics

Assignment Help:

Magnitude - Vector

The magnitude, or length, of the vector v = (a1, a2, a3) is given by,

||v|| = √(a12 + a22 + a23)

Example of Magnitude

Illustration: Determine or find out the magnitude of each of the following vectors.

(a) a = (3, -5, 10)

(b) u= (1/5, - 2/5)

(c) W = (0,0)

(d) i = (1,0,0)

Solution

There is not very much to these other than plug into the formula.

(a) ||a|| = √(9+25+100) = √134

(b) ||u|| = √(1/5 + 4/5) = √1 = 1

(c) ||w|| = √(0+0) = 0

(d) ||i|| = √(1+0+0) = 1


Related Discussions:- Magnitude - vector

Subtraction - vector arithmetic, Subtraction - Vector arithmetic Compu...

Subtraction - Vector arithmetic Computationally, subtraction is very similar.  Given the vectors a → = (a 1 , a 2 , a 3 ) and b → = (b 1 , b 2 , b 3 ) the difference of the t

Vectors, why minimum three coplanar vectors are required to give zero resul...

why minimum three coplanar vectors are required to give zero resultant and not two?

Series solutions to differential equations, Before searching at series solu...

Before searching at series solutions to a differential equation we will initially require to do a cursory review of power series. So, a power series is a series in the form, .

Simplification, how do we answer questions with fraction mixed. what are th...

how do we answer questions with fraction mixed. what are the easier ways to do it

Differential equation, Question: In the interest of saving up enough mo...

Question: In the interest of saving up enough money for retirement, you have created a bank account to store a  sum of money. Compound interest on  this account is accumulated

Exercise of concrete operational stage, Which of the following statements d...

Which of the following statements do you think are true about children? Indicate with 'T' for true and for false. Give reasons for your choice. a) Most primary school children a

Infinite limits, Infinite Limits : In this section we will see limits who...

Infinite Limits : In this section we will see limits whose value is infinity or minus infinity.  The primary thing we have to probably do here is to define just what we mean w

Rational numbers, Although the set of integers caters to a larger aud...

Although the set of integers caters to a larger audience, it is inadequate. This inadequacy has led to the formulation of Rational numbers. Rational numbers are of

How much was invested at 12% if the total annual interest, Jackie invested ...

Jackie invested money in two different accounts, one of that earned 12% interest per year and another that earned 15% interest per year. The amount invested at 15% was 100 more tha

Mensuration, a hollow cone is cut by a plane parallel to the base and the u...

a hollow cone is cut by a plane parallel to the base and the upper portion is removed. if the volume of the frustum obtained is 26/27 of volume of the cone. find at what height abo

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd