0

Guest

Courses New

Show that the scalar product of two vectors is commutative

Show that the scalar product of two vectors is commutative
 

Grade:9

2 Answers

rohan j
13 Points
3 years ago
Consider two vectors and ,the angle between them is q. where represents the projection of vector onto the direction of vector . ... This shows that the dot product of two vectors does not chanfe with the change in the order of the vectors to be multiplied. This fact is known as the commutative of dot product
Manika gupta
askIITians Faculty 43 Points
3 years ago
Dear Student
You can find your solution here.

SinceA . B = AB cos theta——-> 1
&B . A = BA cos theta
HereAandBare two vectors andThetais the angle between them.
AsAB = BA(being magnitude)
thusB . A = AB cos theta——> 2
Comparing eq 1 and 2 we get
A .B = B . A631-1933_Capture.PNG
AskIITians Expert.
Toshika Choyal.

Think You Can Provide A Better Answer ?

Other Related Questions on Mechanics

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More