Server Error

Server Not Reachable.

This may be due to your internet connection or the nubtrek server is offline.

Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.

User Guide

Welcome to nubtrek.

The content is presented in small-focused learning units to enable you to
think,
figure-out, &
learn.

Just keep tapping (or clicking) on the content to continue in the trail and learn.

User Guide

To make best use of nubtrek, understand what is available.

nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

nub,

trek,

jogger,

exercise.

User Guide

nub is the simple explanation of the concept.

This captures the small-core of concept in simple-plain English. The objective is to make the learner to think about.

User Guide

trek is the step by step exploration of the concept.

Trekking is bit hard, requiring one to sweat and exert. The benefits of taking the steps are awesome. In the trek, concepts are explained with exploratory questions and your thinking process is honed step by step.

User Guide

jogger provides the complete mathematical definition of the concepts.

This captures the essence of learning and helps one to review at a later point. The reference is available in pdf document too. This is designed to be viewed in a smart-phone screen.

User Guide

exercise provides practice problems to become fluent in the concepts.

This part does not have much content as of now. Over time, when resources are available, this section will have curated and exam-prep focused questions to test your knowledge.

summary of this topic

### Vector Dot Product

Voice

Voice

Home

Vector Dot Product: Projection form

»  component in parallel is calculated by the angle
→  vec p cdot vec q  = |vec p| |vec q| cos theta
→  Note that |vec a| = |vec q|cos theta
→  vec a is the projection of vec q on vec p

### Vector Dot Product : Projection of a vector

plain and simple summary

nub

plain and simple summary

nub

dummy

Vector dot product can be used to find projection of a vector on a line or on another vector.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

Support Nubtrek

You are learning the free content, however do shake hands with a coffee to show appreciation.
To stop this message from appearing, please choose an option and make a payment.

Keep tapping on the content to continue learning.
Starting on learning "vector dot product in the form, projection of a vector". ;; In this page, you will learn about computing projection of vector using vector dot product.

Vector dot product is understood as product between components in parallel to each other.
In finding the component in parallel to one vector the vector is projected on to another in the figure, What is a ?

• a is the projection of vec q onto vec p
• a is the projection of vec p onto vec q

The answer is 'a is the projection of vec q onto vec p'

The vector dot product can be used to find projection of a vector on a line.

Consider the line given by vec s and the vector vec p as shown in the figure. We know that vec s cdot vec p = |vec s| |vec p| cos theta.
To find the projection of vec p on vec s, which of the following can be used?

• hat s cdot vec p, where hat s is unit vector
• (vec s)/(|vec s|) cdot vec p
• both the above

The answer is 'both the above'.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Projection of a vector: Projection of a vector vec p on a line in direction vec s is
= vec p cdot hat s
where hat s is the unit vector along vec s.

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Two vectors vec p and vec q with magnitudes 2 and 3 respectively are at an angle 60^@. What is the projection of vec p on vec q?

• 2 xx cos 60^@
• 2 xx 1/2
• 1
• all the above

The answer is 'All the above'.

Progress

Progress

Vector dot product is understood as product between components in parallel to each other. In finding the component in parallel to one vector, the vector is projected on to another. In the figure what is a?
1
2
The answer is "a is the projection of vector q onto vector p"
The vector dot product can be used to find projection of a vector on a line.
Consider the line given by vector s and the vector p as shown in the figure. We know that vector s dot vector p = magnitude of vector s multiplied magnitude of vector p multiplied cos theta. ; To find the projection of vector p on vector s, which of the following can be used?
1
2
3
The answer is "both the above".
Vector dot product can be used to find projection of a vector on a line or on another vector.
Projection of a vector: Projection of a vector p on a line in direction vector s is ; vector p dot hat s ; where hat s is the unit vector along vector s.
Two vector p and q with magnitudes 2 and 3 respectively are at an angle 60 degree. What is the projection of vector p on vector q?
1
2
3
4
The answer is "all the above".

we are not perfect yet...