Projections - vector, Mathematics

Assignment Help:

Projections

The good way to understand projections is to see a couple of diagrams. Thus, given two vectors a and b we want to find out the projection of b onto a. The projection is represented by Proja→ b.

 Here are a couple of diagrams illustrating the projection.

1595_Projections - Vector.png

Thus, to get the projection of b onto a we drop straight down from the end of b till we hit and form a right angle along with the line which is parallel to a . after that the projection is the vector that is parallel to a , starts at similar point both of the original vectors started at and ends where the dashed line hits the line parallel to a .

There is a formula for finding the projection of b onto a.  The formula is as follow:,

Proja→ b = a• b / (||a||2) (a)


Related Discussions:- Projections - vector

What was the original price of the frying pan, Cory purchased a frying pan ...

Cory purchased a frying pan which was on sale for 30% off. She saved $3.75 along with the sale. What was the original price of the frying pan? Use a proportion to ?nd out the o

Find the lesser of two consecutive positive even integers, Find the lesser ...

Find the lesser of two consecutive positive even integers whose product is 168. Let x = the lesser even integer and let x + 2 = the greater even integer. Because product is a k

Calculus, Properties of Integration

Properties of Integration

Maximum and minimum values, Find all the local maximum and minimum values a...

Find all the local maximum and minimum values and saddle points of the function f(x, y) = x 2 - xy + y 2 + 9x - 6y + 10

Unit circle, Unit circle: The unit circle is one of the most valuable tool...

Unit circle: The unit circle is one of the most valuable tools to come out in trig.  Unluckily, most people don't study it as well. Below is the unit circle with just the first

Vectors, why minimum three coplanar vectors are required to give zero resul...

why minimum three coplanar vectors are required to give zero resultant and not two?

#title., I need to follow the pattern .125,.25,.375,.5, ?

I need to follow the pattern .125,.25,.375,.5, ?

Evaluate the volume of the shaded region, If the hight of pipe is 18 inches...

If the hight of pipe is 18 inches, what is the volume of the shaded region in terms of π? a. 31.5π in 3 b. 126π in 3 c. 157.5 in 3 d. 58.5 in 3

Tent originally sold for $2 what is the percent of discount, A tent origina...

A tent originally sold for $260 and has been marked down to $208. What is the percent of discount? Find out the number of dollars off. $260 - $208 = $52. Further, determine wha

Find the number of zeros of the polynomial, Find the number of zeros of the...

Find the number of zeros of the polynomial from the graph given. (Ans:1)

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