Question

Maximum value of resultant of two vectors vector A and vector B is?

Answer 1

Answer:

The magnitude of resultant R of two vectors A and B is given by;

R² = A² + B² + 2 A B Cos ( A, B ); where

R = magnitude of the resultant R =| R |,

A = magnitude of the vector A = | A |

B = magnitude of vector B = | B |

( A, B ) = Angle between 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.

$\: \: \:$

Answer 2

Answer:

Maximum value of resultant of two vectors vector A and vector B is

$\sqrt{ {A}^{2} + {B}^{2} + 2AB}$

When the angle between the two vectors A and B is 1 , the resultant is maximum.

Explanation:

• When Cos (A, B) = +1, or when the angle between vectors A and B is zero, or when the two vectors are parallel, R is at its highest value.
• When the two vectors are parallel to one another, the result is at its highest value.
• The vector sum of two or more vectors is the outcome.
• The resultant of the two vectors is given by R. ( A and B are the magnitudes of the vectors A and B)
• ${R}^{2} = {A}^{2} + {B}^{2} + 2ABcosθ$
• So, when cos θ is 1, the Resultant will be maximum and when cos θ is - 1 , the resultant will be minimum.
• The value of the resultant is
• $\sqrt{ {A}^{2} + {B}^{2} + 2AB}$
• It is the outcome of multiplying two or more vectors. When the two vectors are moving in the same direction, it is at its maximum, and when they are moving in the opposite direction, it is at its minimum.

#SPJ2