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

Write triangles named by the lengths of their sides, Write Triangles Named ...

Write Triangles Named by the Lengths of Their Sides? An equilateral triangle is a triangle with three congruent sides. All three sides of this triangle are the same lengt

Obligatory application and interpretation problem, Obligatory application/i...

Obligatory application/interpretation problem : Next, we need to do our obligatory application/interpretation problem so we don't forget about them. Example : Assume that the

Trigonometric Identities, How to sovle or prove whether an equation is a id...

How to sovle or prove whether an equation is a identity?

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Find the root, (a) Convert z  = - 2 - 2 i to polar form. (b) Find ...

(a) Convert z  = - 2 - 2 i to polar form. (b) Find all the roots of the equation w 3 = - 2 - 2 i . Plot the solutions on an Argand diagram.

Statistics, How do you calculate for the distance between two co-ordinates?...

How do you calculate for the distance between two co-ordinates?

Four distinct points on a circle, If (a,1/a), (b,1/b),(c,1/c),(d,1/d) are f...

If (a,1/a), (b,1/b),(c,1/c),(d,1/d) are four distinct points on a circle of radius 4 units then,abcd is equal to??   Ans) As they are of form (x,1/x) let eq of circle be x

How to calculate percentiles, Q. How to calculate Percentiles? Ans. ...

Q. How to calculate Percentiles? Ans. In a large group of standardized test scores we expect the scores to approximate a normal curve. If all scores are translated to z-s

Profit and loss, a shopkeeper buys two cameras at the same price . he sells...

a shopkeeper buys two cameras at the same price . he sells one camera at a profit of 18% and the other at a price of 10% less than the selling price of the first camera. find his p

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