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

Project, elliptical path of celestial bodies

elliptical path of celestial bodies

The mean value theorem, The Mean Value Theorem : In this section we will ...

The Mean Value Theorem : In this section we will discuss the Mean Value Theorem.  Before we going through the Mean Value Theorem we have to cover the following theorem. Ro

Finding the equation of a line, Finding the Equation of a line, Given a Slo...

Finding the Equation of a line, Given a Slope and a Point ? Find the equation of a line with slope m = 2, which passes through the point (-1, -3). Solution: Use the po

Equations in linear algebra and matrices, Equations in linear algebra and m...

Equations in linear algebra and matrices What is Equations in linear algebra and matrices?

What is exponents values, What is Exponents values? Exponents were inve...

What is Exponents values? Exponents were invented as a quick way to show that you are multiplying a number by itself several times. It's too much trouble to write something

Determine the leading order term the asymptotic expansion, Submit your work...

Submit your working in (neat) handwritten form (do not type up your solutions). For the plots that you generate in Maple or Matlab, you can print them out and attach them at the en

Why did the two dice game become more difficult?, The following exercises m...

The following exercises may help you to look more closely at the activities done above. E1) Why did the two dice game become more difficult? E2) Do you find the activities in

What is the meaning of the f-statistic and f test, You are given the follow...

You are given the following regression results estimating the demand for widgets based on time series data for the past 40 months. Q t = 2.5 - 0.3 x P t + 12 x M t Where Q

Maths Assessment, Assessment task This Term Assessment will require you ass...

Assessment task This Term Assessment will require you assess the effectiveness of your current lunch budget and prepare a proposal to your caregiver to seek permission to be given

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