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

Circls, in a given figure a,b,c and d are points on a circle such that ABC ...

in a given figure a,b,c and d are points on a circle such that ABC =40 and DAB= 60 find the measure of DBA

Determine the height of building, A 20-foot light post shows a shadow 25 fe...

A 20-foot light post shows a shadow 25 feet long. At the similar time, a building nearby casts a shadow 50 feet long. determine the height of building? a. 40 ft b. 62.5 ft

Other ways to aid learning maths, OTHER WAYS TO AID LEARNING :  Here we sh...

OTHER WAYS TO AID LEARNING :  Here we shall pay particular attention to the need for repetition, learning from other children, and utilising errors for learning.

Absolute value, Consider x € R. Then the magnitude of x is known as it's...

Consider x € R. Then the magnitude of x is known as it's absolute value and in general, shown by |x| and is explained as Since the symbol   always shows the nonnegative

How many packets of the first type did she purchase, The manager of a garde...

The manager of a garden store ordered two different types of marigold seeds for her display. The first type cost her $1 per packet and the second kinds cost $1.26 per packet. How m

Elementary row operations, Anne, Betty and Carol went to their local produc...

Anne, Betty and Carol went to their local produce store to buy some fruit. Anne bought one pound of apples and two pounds of bananas and paid $2.11. Betty bought two pounds of appl

Explain that odd positive integer to be a perfect square, Show that for odd...

Show that for odd positive integer to be a perfect square, it should be of the form 8k +1. Let a=2m+1 Ans: Squaring both sides we get a2 = 4m (m +1) + 1 ∴ product of two

Ratios, the ratio of boys to girls in the sixth grade is 2:3 if there are ...

the ratio of boys to girls in the sixth grade is 2:3 if there are 24 boys, how many are girls?

Example on eulers method, For the initial value problem y' + 2y = 2 - e ...

For the initial value problem y' + 2y = 2 - e -4t , y(0) = 1 By using Euler's Method along with a step size of h = 0.1 to get approximate values of the solution at t = 0.1, 0

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