Table of Contents
- 1 When the magnitude of the resultant of the two vectors is maximum and minimum?
- 2 When the magnitude of the resultant of two vectors is minimum?
- 3 What is the maximum and minimum value of the resultant of two forces?
- 4 What is the angle between P and the resultant of P Q and PQ?
- 5 How do you find the maximum value of a vector?
When the magnitude of the resultant of the two vectors is maximum and minimum?
It is maximum when the two vectors are acting in same direction and minimum when the vectors are acting in oppsite direction .
How do you find the maximum and minimum magnitude of the resultant?
The maximum and minimum magnitudes of the resultant of two forces are 35 N and 5 N respectively.
- ⇒Rmax=35N⇒Rmin=5N.
- Rmax=A+B⇒A+B=35N.
- Rmin=A−B⇒A−B=5N.
- 2A=40⇒A=20N.
- 20−B=5⇒B=15N.
- R=√202+152+2(20)(15)cos90∘⇒R=√400+225+0.
- R=√625R=25N.
When the magnitude of the resultant of the two vectors is maximum?
Notes: The magnitude of the resultant of two vectors is maximum when vectors act in the same direction. The magnitude of the resultant of two vectors is minimum when vectors act in the opposite directions.
When the magnitude of the resultant of two vectors is minimum?
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.
What is the maximum resultant of two vectors P and Q?
What is the ratio of the magnitudes of the vectors →Pand→Q? The greatest resultant of two vectors →P and →Q is (n) times their least reast resultant. Fiven |→P|>|→Q|. When θ is the angle between the two vectors, their resultant is half the sum of the two vectors.
What is maximum and minimum magnitude?
The maximum magnitude of the resultant of two vectors = A + B. Minimum magnitude of the resultant of two vectors = A – B. Here, 648 Views.
What is the maximum and minimum value of the resultant of two forces?
Maximum and minimum values of the resultant of two forces acting at a point are 7 N and 3 N respectively . The smaller force will be equal to. ∴ A=5 and B =2.
What is the maximum resultant of two vectors A and B?
The maximum resultant of two vectors A and B (A > B) is n times their least resultant. If theta be the angle between the vectors and their resultant be half the sum of the vectors, then show that cos the ta is equal to – n^2 +2/2(n^2 – 1)
What is the maximum value of resultant of vectors A and B?
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. Resultant is maximum when the two vectors are parallel to each other.
What is the angle between P and the resultant of P Q and PQ?
The resultant of this vector is twice in magnitude of vector P but having same direction. Therefore angle is 0°. hence angle between p and the resultant of p+q and p-q will be equal to zero.
What is the maximum resultant?
The resultant of a number of forces acting on a body is the vector sum of all the forces acting on the body. The maximum resultant forces is found when all the forces have the same direction (parallel forces). The minimum resultant force is found when forces act in exactly opposite directions (anti-parallel forces).
What is the magnitude of the resultant of two vectors?
The maximum and minimum magnitude of the resultant of two given vectors are 17 unit and 7 unit respectively. If these two vectors are at night angles to each other, the magnitude of their resultant is 11th
How do you find the maximum value of a vector?
If the operation is the dot product, then too, the maximum would be obtained when the directions of both the vectors is the same. If the operation is the cross product, the maximum would be obtained when the two vectors are perpendicular to each other.
What is the maximum possible result when cos(a) = +1?
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. Resultant is maximum when the two vectors are parallel to each other.