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

Variation, If p=10 when q=2,find p when q=5

If p=10 when q=2,find p when q=5

Find ad, A circle is inscribed in a triangle ABC having sides 8cm, 10cm and...

A circle is inscribed in a triangle ABC having sides 8cm, 10cm and 12cm as shown in the figure. Find AD, BE and CF.

Integers, students dont retain the topic, hoe to make it easier?

students dont retain the topic, hoe to make it easier?

COS Sheets, How do I find percentages with doing COS Sheets

How do I find percentages with doing COS Sheets

Linear graph, in the form of linear graph interpret the ralationship betwee...

in the form of linear graph interpret the ralationship between two quantities

Explain set intersection, Q. Explain Set Intersection? Ans. Set I...

Q. Explain Set Intersection? Ans. Set Intersection Suppose your school needs to know which students are taking both art and business this year. If A is the set of studen

Trigonometry, how to change sin 24 degree in digits?

how to change sin 24 degree in digits?

Stratified sampling, Stratified sampling In stratified sampling case t...

Stratified sampling In stratified sampling case the population is divided into groups in such a way that units in each group are as same as possible in a process called strati

Definition of the definite integral , Using the definition of the definite ...

Using the definition of the definite integral calculate the following.                                                             ∫ 0 2  x 2   + 1dx Solution Firstly,

Word or term for, An irregular perimeter to the circumference of a circle s...

An irregular perimeter to the circumference of a circle such as a protrusion

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