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

Lognormal distribution, The Lognormal Distribution If ln(X) is a normal...

The Lognormal Distribution If ln(X) is a normally distributed random variable, then X is said to be a lognormal variable. If P1, P2, P3, ... are the prices of a scrip in per

Consecutive positive odd integers 74 what is integer value, The sum of the ...

The sum of the squares of two consecutive positive odd integers is 74. What is the value of the smaller integer? Let x = the lesser odd integer and let x + 2 = the greater odd

Lorie, A bourbon that is 51 proof is 25.5% alcohol by volume while one that...

A bourbon that is 51 proof is 25.5% alcohol by volume while one that is 82 proof is 41% alcohol. How many liters of 51 proof bourbon must be mixed with 1.0 liter of 82 proof bourbo

Cylindrical coordinate system, how to describe the locus of the equation x^...

how to describe the locus of the equation x^2+6xy+y^2+z^2=1 in cylindrical polar coordinates?

Math, how do you add all the Y.AND X UP WITH 3

how do you add all the Y.AND X UP WITH 3

Marketing management , Draw the typical profile(s) of Shoppers'' Stop custo...

Draw the typical profile(s) of Shoppers'' Stop customers segments.

How far did the ?rst arrow goes, From a fixed point directly in front of th...

From a fixed point directly in front of the center of a bull's eye, Kim aims two arrows at the bull's eye. The first arrow nicks one point on the edge of the bull's eye; the second

Diffrentiation, y=f(a^x)   and f(sinx)=lnx find dy/dx Solution) dy/dx...

y=f(a^x)   and f(sinx)=lnx find dy/dx Solution) dy/dx = (a^x)(lnx)f''(a^x), .........(1) but f(sinx) = lnx implies f(x) = ln(arcsinx) hence f''(x) = (1/arcsinx) (1/ ( ( 1-x

Extended product rule, Extended product rule : As a last topic let's note ...

Extended product rule : As a last topic let's note that the product rule can be extended to more than two functions, for instance.  ( f g h )′ = f ′ gh + f g ′ h+ f g h′ ( f

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