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

Logarithmic and exponential equations, ln(4x+19)=ln(2x+9)

ln(4x+19)=ln(2x+9)

Explain the rules of divisibility, Explain the rules of Divisibility ? ...

Explain the rules of Divisibility ? Divisible by 2: If the last digit is a 0, 2, 4, 6, or 8, the number is evenly divisible by 2. Divisible by 2 Not

Maths for fun-mathematics- in our lives, Maths For Fun : Often, when I ha...

Maths For Fun : Often, when I have time on my hands, I try to solve interesting mathematical questions of the following kind. Sometimes my friends and I create the problems, and

Concordant form, Explain Concordant Form

Explain Concordant Form

Distribution of sample distribution or sampling means , Distribution of Sam...

Distribution of Sample distribution or Sampling means A sample of size n is taken from the parent population and mean of the sample is estimated. It is repeated for a number o

Composition of functions, functions f&g on R to R such that f=\g but fog=go...

functions f&g on R to R such that f=\g but fog=gof

Intergrated algebra, -1

-1

Percentage, By selling a violin for $4950, giving a 10% discount on the mar...

By selling a violin for $4950, giving a 10% discount on the marked price, a trader gained $950 on his investment, Find, Cost price.

Conclude the values of the six trigonometric functions, Conclude the values...

Conclude the values of the six trigonometric functions: Conclude the values of the six trigonometric functions of an angle formed through the x-axis and a line connecting the

Real and distinct roots, Now we start solving constant linear, coefficient ...

Now we start solving constant linear, coefficient and second order differential and homogeneous equations. Thus, let's recap how we do this from the previous section. We start alon

Write Your Message!

Name

Email id

Message

Verfication Code

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!

Submit Assignment

User Account

All Pages