Hi,

I have to vectors:

Vector a is given as (1, 3)

Vector b is given as (7, 2)

How to find the projection of the vector a onto the vector b?

Thanks!!

Hi,

I have to vectors:

Vector a is given as (1, 3)

Vector b is given as (7, 2)

How to find the projection of the vector a onto the vector b?

Thanks!!

I have to vectors:

Vector a is given as (1, 3)

Vector b is given as (7, 2)

How to find the projection of the vector a onto the vector b?

Thanks!!

- stapel_eliz
**Posts:**1738**Joined:**Mon Dec 08, 2008 4:22 pm-
**Contact:**

Hmm... Your book and / or your instructor were supposed to have covered this material before assigning homework on it....

The "projection" of**a** onto **b** is defined as the vector **c** that is orthogonal (perpendicular) to **b** and satisfies **|b|**^{2} + **|c|**^{2} = **|a|**^{2}.

Since**b** and **c** are orthogonal, what can you say about their dot product? What can you do with the magnitudes?

For explanations and the formulas to use, try reviewing a few online lessons, such as:

. . . . .**Projection of One Vector Onto Another (lesson)**

. . . . .**MathWorld: Projection (article)**

. . . . .**Dot Products and Projections (lesson)**

. . . . .**The projection of a vector**

. . . . .**Wikipedia: Vector projection**

. . . . .**How to Project One Vector onto Another**

. . . . .**Vectors (tutorial)**

Once you have learned the basic terms and techniques, please attempt the exercise. If you get stuck, you will then be able to reply with a clear listing of your steps and reasoning so far.

Thank you!

The "projection" of

Since

For explanations and the formulas to use, try reviewing a few online lessons, such as:

. . . . .

. . . . .

. . . . .

. . . . .

. . . . .

. . . . .

. . . . .

Once you have learned the basic terms and techniques, please attempt the exercise. If you get stuck, you will then be able to reply with a clear listing of your steps and reasoning so far.

Thank you!