Question

Why is the range of theta, (in dot product of two vectors) 0 to pi ?

Answer 1

@ganeshie8 @parthkohli @Mehek14

Answer 2

Theta is the angle between the two vectors and it can be any angle value

Answer 3

so 0 to 2 pi

Answer 4

I think you would tend to quote the obtuse angle though, rather than the reflex angle. So in that respect the range is 0 to pi.

Answer 5

http://openstudy.com/users/ganeshie8

Answer 6

@parthkohli

Answer 7

@Mehek14

Answer 8

@ganeshie8

Answer 9

\[\theta = \arccos\left(\dfrac{v\cdot w}{|v||w|}\right)\]

what is the range of \(\arccos(x)\) ?

Answer 10

0 to pi..

Answer 11

http://math.stackexchange.com/questions/654315/how-to-convert-a-dot-product-of-two-vectors-to-the-angle-between-the-vectors

Answer 12

okay can we say that we can draw a plane given any two vectors , hence the maximum angle between then can be pi ?

Answer 13

how are they related ?

Answer 14

We use dot product to calculate the angle between two vectors, so i thought about putting it this way..?