What conclusion would you draw when cross product of two non zero vectors is zero?
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Cross product equals zero means that the body is in equilibrium. Its state of work or motion won't be affected anyhow iff,
1. Both vectors are of equal magnitude but opposite directions.
Push a football, giving it some force and allowing it to roll along the ground. To make the ball stop, you gotta provide it equal amount of force again, but in the direction opposite to the force vector along with which you'd pushed it (assuming that friction and air resistance are disabled). Let both the events take place at the same interval of time, then it could be seen that the ball won't move from its place. The vector product became zero (as both had opposite directions and equal magnitude) and ball maintained the equilibrium of rest.
2. The vectors are parallel.
If the vectors are parallel, no matter what their directions and magnitudes are, the angle between them will be 0 degrees. As we know,
AxB = ABsint (where t is the angle between the vectors)
sin0° is 0, and hence, the product will become zero. Because the vectors are parallel, either both will represent a single vector representing a body (if are overlapped) or they will represent two different bodies which do not have any influence over the other.
1. Both vectors are of equal magnitude but opposite directions.
Push a football, giving it some force and allowing it to roll along the ground. To make the ball stop, you gotta provide it equal amount of force again, but in the direction opposite to the force vector along with which you'd pushed it (assuming that friction and air resistance are disabled). Let both the events take place at the same interval of time, then it could be seen that the ball won't move from its place. The vector product became zero (as both had opposite directions and equal magnitude) and ball maintained the equilibrium of rest.
2. The vectors are parallel.
If the vectors are parallel, no matter what their directions and magnitudes are, the angle between them will be 0 degrees. As we know,
AxB = ABsint (where t is the angle between the vectors)
sin0° is 0, and hence, the product will become zero. Because the vectors are parallel, either both will represent a single vector representing a body (if are overlapped) or they will represent two different bodies which do not have any influence over the other.
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