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

Find the least and greatest number of coins, Marc goes to the store with ex...

Marc goes to the store with exactly $1 in change. He has at least one of each coin less than a half-dollar coin, but he does not have a half-dollar coin. a. What is the least nu

Find out the center of mass, Find out the center of mass for the region bou...

Find out the center of mass for the region bounded by y = 2sin (2x), y =0 on  the interval  [0 , Π/2] Solution Here is a sketch (diagram) of the region along with the cent

Determine that the series is convergent or divergent, Determine or find out...

Determine or find out if the subsequent series is convergent or divergent.  If it converges find out its value. Solution To find out if the series is convergent we fir

Example of imaginary numbers, Example of Imaginary Numbers: Example 1...

Example of Imaginary Numbers: Example 1: Multiply √-2  and √-32 Solution: (√-2)( √-32) = (√2i)( √32i) =√64 (-1) =8 (-1) =-8 Example 2: Divid

Melissa is four times if jim is y years old, Melissa is four times as old a...

Melissa is four times as old as Jim. Pat is 5 years older than Melissa. If Jim is y years old, how old is Pat? Start along with Jim's age, y, because he appears to be the young

Example of subtraction of fractions, Example of Subtraction of Fractions: ...

Example of Subtraction of Fractions: 1/3 + 1/6 + 1/8 = ____ Using trial & error we could search that 24 is the LCD or smallest number in which 3, 6, and 8 will all divide w

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