Under what condition will the direction of sum and difference of two vector be same?

Hence the direction of sum and difference of two vectors will remain the same as long as the two vectors are of different magnitude, acting in the same direction. And the difference should be taken such that the vector with less magnitude should be subtracted from the vector with greater magnitude.

When the magnitude of the sum and difference of two vectors are same then angle between them is?

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is, 90.

What do you mean by resultant vector?

The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R. As shown in the diagram, vector R can be determined by the use of an accurately drawn, scaled, vector addition diagram.

Under what condition is the magnitude of the sum of two vectors?

Thus , when the two vectors are equal in magnitude and perpendicular to each other. then the sum and difference of two vectors will be equal in magnitude .

Under what condition the magnitude of sum of two vector is equals to the sum of magnitude of these two vectors?

The sum of 2 vectors of equal magnitude has a magnitude equal to that of either vector if and only if the angle between the 2 vectors is 120° or 240° (2π/3 or 4π/3 radians).

What are the conditions for two vectors to be equal?

For two vectors to be equal, they must have both the magnitude and the directions equal.

Under what conditions is the magnitude of sum of two vectors maximum?

The maximum is obtained when the two vectors are directed in the same direction. The minimum s obtained when the two vectors are directed in the opposite direction.

Under what condition is the magnitude of resultant is maximum and minimum?

Answer: R is maximum when Cos ( A, B) = +1 ie angle between vectors A and B is zero ie vectors A and B are parallel to each other. The resultant of two vector is minimum when both vectors are equal and in opposite direction i.e. the angle between the vector is 180 degrees…!!

When do the sum and difference of two vectors have the same?

A:The sum and difference of two vectors will be equal in magnitude when two vectors are perpendicular to each other.B:The sum and difference of two vectors will have the same direction, when the vectors have unequal magnitudes but are in the same direction. The Fish Tale Across the Wall Tenths and HundredthsParts and Whole Can you see the Pattern?

What are the conditions for two vectors to have equal magnitudes?

In case you mean that only the magnitudes must be equal, then either the magnitudes are zero or the directions of the original two vectors differ by 120 degrees (so that the three form an equilateral triangle).

When vectors A and B are opposite to each other?

Okay here we go. Its given magnitude of sum of vectors is equal to the difference of their magnitudes. Which means for @= 180°. This case is possible. So, when vectors A and B are opposite to each other their magnitude of sum and difference of magnitudes are equal.

How to find the resultant of two vectors in two planes?

For the resultant of two vectors to be zero, they must be equal in magnitude and opposite in direction. For the resultant of R and C to be zero (i.e resultant of A, B and C) they must be equal and opposite, which would make C in the same plane as that of A and B . Suppose there are three vectors A, B and C in two planes.