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

Euilibrium, What is partial market equilibrium

What is partial market equilibrium

Evaluate algebraic word problems, Evaluate algebraic word problems: A ...

Evaluate algebraic word problems: A utility has three nuclear facilities which supply a total of 600 megawatts (Mw) of electricity to a particular area.  The largest facility

Statistical inference, Statistical inference This is the process of dra...

Statistical inference This is the process of drawing conclusions about attributes of a population based upon information contained in a sample or taken from the population.

Negative and positives, in 1970 a record 1.5 of rain fell in one minute at ...

in 1970 a record 1.5 of rain fell in one minute at Basse Terre, guadaloupe in the caribbnean.at this rate, how much rain fell in 3 seconds or 0.05 of a minutes?

Erin is painting a bathroom what is the area to be painted, Erin is paintin...

Erin is painting a bathroom along with four walls each measuring 8 ft through 5.5 ft. Ignoring the doors or windows, what is the area to be painted? The area of the room is the

Liner regression, Liner Regression The calculations for our sample siz...

Liner Regression The calculations for our sample size n = 10 are described below. The linear regression model is y = a + bx Table: Distance x miles

Find the common difference & write the next 3 terms, If the following terms...

If the following terms form a AP. Find the common difference & write the next 3 terms3, 3+ √2, 3+2√2, 3+3√2.......... Ans:    d= √2 next three terms 3 + 4 √ 2 , 3 + 5√ 2 ,

Sum of a number of terms in a.p., We know that the terms in an ...

We know that the terms in an A.P. are given by a, a + d, a + 2d, a + 3d, ........ a + (n - 2)d, a + (n -  1)d The sum of all t

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