- #1

- 142

- 1

I know that the dot product of two vectors ##\vec{A}## and ##\vec{B}## is scalar quantity and also that it represents angular relationship between ##\vec{A}## and ##\vec{B}## .i.e.

- If ##\vec{A}##.##\vec{B} = 0##. Then ##\vec{A}## and ##\vec{B}## are perpendicular.

- If ##\vec{A}##.##\vec{B} > 0## (Positive). Then the angle between ##\vec{A}## and ##\vec{B}## are less than ##90^o##.

- If ##\vec{A}##.##\vec{B} < 0## (Negative). Then the angle between ##\vec{A}## and ##\vec{B}## are greater than ##90^o##.

But I won't be able to understand intuitively, What does the dot product represents. What does the magnitude of the dot product of two vectors represents.