vector equal in magnitude and opposite direction
69 degrees
2pi/3 radian or equivalent 120 degree
If the angle decreases, the magnitude of the resultant vector increases.
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
vector equal in magnitude and opposite direction
69 degrees
No, the statement is incorrect. The sum of two vectors of equal magnitude will not equal the magnitude of either vector. The sum of two vectors of equal magnitude will result in a new vector that is larger than the original vectors due to vector addition. The magnitude of the difference between the two vectors will be smaller than the magnitude of either vector.
The angle between two vectors whose magnitudes add up to be equal to the magnitude of the resultant vector will be 120 degrees. This is known as the "120-degree rule" when adding two vectors of equal magnitude to get a resultant of equal magnitude.
2pi/3 radian or equivalent 120 degree
If the angle decreases, the magnitude of the resultant vector increases.
No, the magnitude of a vector is the length of the vector, while the angle formed by a vector is the direction in which the vector points relative to a reference axis. These are separate properties of a vector that describe different aspects of its characteristics.
Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vector of unequal magnitude cannot be added to give null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
No, the resultant of two equal vectors will have a magnitude that is not equal to the magnitude of the original vectors. When two vectors are added together, the resulting vector will have a magnitude that depends on the angle between the two vectors.
Depends on the situation. Vector A x Vector B= 0 when the sine of the angle between them is 0 Vector A . Vector B= 0 when the cosine of the angle between them is 0 Vector A + Vector B= 0 when Vectors A and B have equal magnitude but opposite direction.
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.