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

Fundamental theorem of calculus, Fundamental Theorem of Calculus, Part I ...

Fundamental Theorem of Calculus, Part I As noted through the title above it is only the first part to the Fundamental Theorem of Calculus. The first part of this theorem us

Sequences, what is the answer to 2.1 to 4.2

what is the answer to 2.1 to 4.2

Estimate the area between f ( x ) =x3 - 5x2 + 6 x + 5, Estimate the area be...

Estimate the area between f ( x ) =x 3 - 5x 2 + 6 x + 5 and the x-axis by using n = 5 subintervals & all three cases above for the heights of each of the rectangle. Solution

Calculate the volume and surface area of a sphere, Calculate the volume and...

Calculate the volume and surface area of a sphere: Calculate the volume and surface area of a sphere with r = 4".  Be sure to include units in your answer. Solution: V

Prove that a simple graph is connected, Prove that a simple graph is connec...

Prove that a simple graph is connected if and only if it has a spanning tree.    Ans: First assume that a simple graph G has a spanning  tree T.  T consists of every node of G.

What is the diameter of the pipe along with the insulation, A pipe has a di...

A pipe has a diameter of 2.5 inches. Insulation which is 0.5 inches thick is placed around the pipe. What is the diameter of the pipe along with the insulation around it? The i

What is the area of the court in square feet, A racquetball court is 40 ft ...

A racquetball court is 40 ft through 20 ft. What is the area of the court in square feet? The area of a rectangle is length times width. Thus, the area of the racquetball court

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