Vectors, Mathematics

Assignment Help:

The angles between three non-zero and non coplanar vectors a,b and c are

α between b and c

and β between c and a

and γ between a and b.

The vector u and v are defined by u=(aXb)Xc;

v=aX(bXc).

If u is perpendicular to v, then show that either

a is perpendicular to c

or cosβ=cosα.cosγ .
 
solution) Given that u=(axb)xc, v=ax(bxc), both the vectors are equal in magnitude because of the associated law, and u.v=0, therefore it must be true that a.c=0, because excluding a and c , b is not situated at right angles so angle between a and c is 90.


Related Discussions:- Vectors

Equivalent Fractions and Decimals, write each fraction as a decimal .round ...

write each fraction as a decimal .round to the nearest hundredth if necessary (1-4) (14-21)

Mathematical concepts and ideas , These experiences should be related to th...

These experiences should be related to the mathematical concepts and ideas that we teach them. Only then will these ideas appear relevant to the children, and be absorbed by them

Tutoring , hi, i was wondering how do you provide tutoring for math specifi...

hi, i was wondering how do you provide tutoring for math specifically discrete mathematics for computer science ? I want to get some help in understanding in the meantime about alg

Standard form of a complex number, Standard form of a complex number So...

Standard form of a complex number So, let's start out with some of the basic definitions & terminology for complex numbers. The standard form of a complex number is

Percentage of values will fall in the normal group, If the normal range is ...

If the normal range is 65-10 mg/dl, then what percentage of values will fall in the normal group?

Testing the difference between two sample means-illustration, An observatio...

An observation was made concerning reading abilities of males and females. The observation leads to a conclusion that females are faster readers than males. The observation was bas

Statistics and probability, STATISTICS AND PROBABILITY : Statistics  ar...

STATISTICS AND PROBABILITY : Statistics  are the  only  tools  by  which  an  opening  can  be  cut  through  the formidable  thicket  of difficulties  that bars the  path  of

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