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

Prove that 7cot - 3cosec = 3, If 7 cosec?-3cot? = 7, prove that 7cot? - 3co...

If 7 cosec?-3cot? = 7, prove that 7cot? - 3cosec? = 3. Ans:    7 Cosec?-2Cot?=7 P.T 7Cot? - 3 Cosec?=3 7 Cosec?-3Cot?=7 ⇒7Cosec?-7=3Cot? ⇒7(Cosec?-1)=3Cot? ⇒7(C

Word problem, mark got 15.00 for his birthday he now has 27.00. how much di...

mark got 15.00 for his birthday he now has 27.00. how much did he start with

Sketch several trajectories for the system, Sketch several trajectories for...

Sketch several trajectories for the system, x 1 ' = x 1 + 2x 2                                                                                x 2 ' = 3x 1 + 2x 2

Order to solve mathematical operations, Order to solve Mathematical Operati...

Order to solve Mathematical Operations: Example: Solve the following equation: (4 - 2) + (3 x 4) - (10 ÷ 5) - 6 =  ____________ Solution: a.         Perform ma

Ogive, How to construct a histogram into an ogive

How to construct a histogram into an ogive

Eigenvalues and eigenvectors, If you find nothing out of this rapid review ...

If you find nothing out of this rapid review of linear algebra you should get this section.  Without this section you will not be capable to do any of the differential equations wo

Co-prime positive integers, A group of 5 people are going to meet weekly at...

A group of 5 people are going to meet weekly at the library for 4 weeks. Every week, two people are selected at random to speak. Every person may speak in multiple weeks, but no pa

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