Determine the direction cosines and direction angles, Mathematics

Assignment Help:

Determine or find out the direction cosines and direction angles for a = (2, 1, -4)

Solution

We will require the magnitude of the vector.

||a|| = √ (4+1+16) = √ (21)

After that the direction cosines and angles are,

cos α = 2/√21         α = 1.119 radians = 64.123 degrees

cos β = 1/√21         β = 1.351 radians = 77.396 degrees 

cos γ = -4/√21         γ = 2.632 radians = 150.794 degrees


Related Discussions:- Determine the direction cosines and direction angles

Construction, draw a line OX=10CM and construct an angle xoy = 60. (b)bisec...

draw a line OX=10CM and construct an angle xoy = 60. (b)bisect the angle xoy and mark a point A on the bisector so that OA = 7cm

Find the maxima or minima and green theorem, 1) find the maxima and minima ...

1) find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2)compute the work done by the force field F(x,y,z) = x^2I + y j +y k in moving

Limits-of-sum, limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and...

limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and 2 to 2x and apply the limit from 0 to 2 answer is 12.

Multiple integrals, how to convert double integral into polar coordinates a...

how to convert double integral into polar coordinates and change the limits of integration

Basic algebraic properties of real numbers, These can be expressed in...

These can be expressed in terms of two fundamental operations of addition and multiplication. If a, b and c are any three real numbers, then;     1.

Determine the mass of the hemisphere, Question 1. Use cylindrical coordinat...

Question 1. Use cylindrical coordinates to nd the mass of the solid of density e z which lies in the closed region  Question 2. The density of a hemisphere of radius a (y 

6thgrade, do you have 3 digit and 4 digit number problem

do you have 3 digit and 4 digit number problem

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