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

Derive the marshalian demand functions, (a) Derive the Marshalian demand fu...

(a) Derive the Marshalian demand functions for the following utility function: u(x 1 ,x 2 ,x 3 ) = x 1 + δ ln(x 2 )       x 1 ≥ 0, x 2 ≥ 0 Does one need to consider the is

Differential equations, Find the normalized differential equation which has...

Find the normalized differential equation which has {x, xex} as its fundamental set

Bob is 2 years from being double as old as ellen, Bob is 2 years from being...

Bob is 2 years from being double as old as Ellen. The sum of twice Bob's age and three times Ellen's age is 66. How old is Ellen? Let x = Ellen's age and let y = Bob's age. Sin

Polynomials, give an example of a binomial of degree 27?

give an example of a binomial of degree 27?

Profit, A wholesaler allows a discount of 20% on the list price to a retail...

A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 5% discount on the list price.If a customer paid Rs 114 for an article,what profit is m

How to convert decimals to fractions, Q. How to Convert decimals to fractio...

Q. How to Convert decimals to fractions? Ans. Note: This tutorial covers only terminating decimals.

Tutor, How to be an expert at expertsmind

How to be an expert at expertsmind

Trigonometry, If a+b+c = 3a , then cotB/2 cotC/2 is equal to

If a+b+c = 3a , then cotB/2 cotC/2 is equal to

What is the value of x in probability , A bag contains 8 red balls and x bl...

A bag contains 8 red balls and x blue balls, the odd against drawing a blue ball are 2: 5. What is the value of x?                                                               (An

Determine the differential y = t 3 - 4t 2 + 7t, Determine the differentia...

Determine the differential for following.                                      y = t 3 - 4t 2 + 7t Solution Before working any of these we have to first discuss just

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