Question

mathematically how to know two vectors are in same or different direction..

Answer 1

Hola User________________

Here is Your Answer...!!!!!
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☆Actually welcome to the concept of the Vectors Dot and Cross product .....

☆Basically if we see the do product ......

☆A vector . B vector = AB Cos ⊙
if here the ⊙ = 0° then ...we know that Cos 0 = 1
Thus we get A vector . B vector = AB . 1
Thus here we can say that the Vectors are in the same direction.......
if A . B = AB

☆A vector . B vector = AB Cos ⊙
if here the ⊙ = 180° then ...we know that Cos 180 = -1
Thus we get A vector . B vector = AB . -1
Thus here we can say that the Vectors are in the opposite direction.......
if A . B = -AB

☆A vector . B vector = AB Cos ⊙
if here the ⊙ = 90° then ...we know that Cos 90 =0
Thus we get A vector . B vector = AB . 0
Thus here we can say that the Vectors are perpendicular direction.......
if A . B = 0 .

☆Thus from here we get that
if the product is positive ..it's in same direction ...but if the product is negative its in opposite direction.....

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Hope it helps u.......☺