Question: Given the three non-coplanar vectors a, b, c, and defining v = a b c, three further vectors are defined as Show that

Given the three non-coplanar vectors a, b, c, and defining v = a · b × c, three further vectors are defined as

a' = bxclv b' = cx alv c = a blv

Show that

where v' = a' b' X c' Deduce that a a' = b.b' = c.c' = 1 a.b' = a.c' = b.a' = b.c' = c.a' = c.b' = 0

If a vector is written in terms of a, b, c as

r = aa + b + yc

evaluate α, β, γ in terms of a´, b´ and c´.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

b c 1 ab cxa a b c a ba a a bc since the second term is zero and a v cancels ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Modern Engineering Mathematics Questions!

Q:

Three non-zero, non-parallel and non-coplanar vectors a, b and c are given. Three further vectors are written in terms of a, b and c as

Q:

find one example from the news media that you can link --either videos, podcasts, articles, reports, television broadcasts, etc.--that exhibit what you take to be a valid and sound deductive argument.

Q:

A computer disk storage device has ten concentric tracks, numbered 1, 2,..., 10 from outermost to innermost, and a single access arm. Let pi = the probability that any particular request for data...

Q:

Given the three nonzero vectors A, B, and C, show that if ,A (B X C) = 0 the three vectors must lie in the same plane.

Q:

i need help with these, thank you 1.20 (Challenge) Magnitude of the vector v. Show work. (Section 2.9) Knowing the angle between a unit vector i and unit vector j is 120, calculate a numerical value...

Q:

Need help with this question. Thank you :) Question 4. Toying with tetrahedronarks) The three-dimensional counterpart of a triangle is a tetrahedron, which is a pyramid with four faces. We colour the...

Q:

PROCEDURE The following was observed when using the Force Table: Confirmed that the table was leveled "by eye" and that the pulleys spin freely. The pulley assembly was against the machined edge of...

Q:

help please Question 1 Tries remaining: 3 Marked out of 1.00 \\ Flag question For the triangle shown, choose the three expressions from the options below that are equal to a. C b a Select one or...

Q:

Module 1: Problem Set Submission is via canvass in PDF or JPG format. Handwritten. 1) Copy the problem first (handwritten) 2) Show your solution which should include the following 8) Given b)...

Q:

pls i need help with the samsung wiley Annual Report Project only the other 4 Attachment is a guideline telling you what need to be done.pls see the attached Apple company wiley Annual Report ANNUAL...

Q:

Turks sells miniature digital cameras for $400 each. 900 units were sold in May, and it forecasts 5% growth in unit sales each month. Determine (a) The number of camera sales and (b) The dollar...

Q:

Dash has a 25% participation in the profits of a partnership. During the year, Dash's capital account has a net increase of 40,000. Dash made a contributions of 160,000 and capital withdrawals of...

Q:

If a contingency table has five rows and six columns, how many degrees of freedom are there for the 2 test for independence?

Q:

Economics Research capital spending to determine how this economic activity creates jobs and other economic benefits. Prepare a short written or oral summary.

Q:

There are four isomers with molecular formula C 4 H 9 Cl. Only one of these isomers (compound A) has a chirality center. When compound A is treated with sodium ethoxide, three products are formed:...

Q:

Identify the number of Ï electrons in each of the following compounds. a. b. c. d. e. N'

Q:

Using acetonitrile (CH 3 CN) and CO 2 as your only sources of carbons, identify how you could prepare each of the following compounds: a. b. c. d.

Q:

help please asap! Journal Entries and Trial Balance On October 1, 2018, Jay Pryor established an interior decorating business, Poneer Designs. During the month Jay completed the following...

Q:

QUESTION 4

Q:

1. What is the MACRS cost recovery period for each type of asset specifically identified by the IRS as being used in agriculture (including farming and ranching)? 2. What is the MACRS cost recovery...