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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
2 months 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
2 months 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.

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