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

The perimeter of a rectangle is 104 inches find out width, The perimeter of...

The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. Find out the width of the rectangle. Let l = the length of the rectangle and let

Trigonometry, Show that the radius of the circle,passing through the centre...

Show that the radius of the circle,passing through the centre of the inscribed circle of a triangle and any two of the centres of the escribed circles,is equal to the diameter of t

Find the equation for each of the two planes , Find the equation for each o...

Find the equation for each of the two planes that just touch the sphere (x - 1) 2 + (y - 4) 2 + (z - 2)2 = 36 and are parallel to the yz-plane. And give the points on the sphere

Permuation and combination, how many words can be formed from letters of wo...

how many words can be formed from letters of word daughter such that word contain 2vowles and 3consonant

Probability, The probability that a leap year will have 53 sunday is ? and ...

The probability that a leap year will have 53 sunday is ? and how please explain it ? (a)1/7    (b) 2/7    (c) 5/7    (d)6/7 Sol) A leap year has 366 days, therefore 52 weeks i.e

Homogeneous differential equation, Assume that Y 1 (t) and Y 2 (t) are two ...

Assume that Y 1 (t) and Y 2 (t) are two solutions to (1) and y 1 (t) and y 2 (t) are a fundamental set of solutions to the associated homogeneous differential equation (2) so, Y

Determine the largest possible domain and inverse function, Consider the fu...

Consider the function f(x) =1/2 (2 x +2 -x ) which has the graph (a) Explain why f has no inverse function. You should include an example to support your explanation

Erp for a company, recomendation to a company to implement ERP to succeed

recomendation to a company to implement ERP to succeed

How much money does she have left, Mary has $2 in her pocket. She does yard...

Mary has $2 in her pocket. She does yard work for four various neighbors and earns $3 per yard. She then spends $2 on a soda. How much money does she have left? This translates

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