Question

Magnitude of resultant of two vectors, A and B is given by square root of:

Answer 1

In physics, a vector is a quantity with both magnitude and direction. It's usually represented by an arrow with the same direction as the amount and a length proportionate to the magnitude of the quantity. A vector does not have location, even though it has magnitude and direction.

Complete step-by-step solution:
The vector sum of two or more vectors is the outcome. It's the outcome of combining two or more vectors. When you put the displacement vectors A, B, and C together, you obtain vector R. A resultant vector is a vector that represents the sum of all the vectors' effects. The resulting vector is the result of combining two or more vectors. Because both forces are parallel and pointing in the same direction, the resulting vector will equal the sum of two forces.
The resulting vector is the vector that is created when two or more vectors are combined. The resulting vector can be calculated in two distinct methods.
Methods for calculating a Resultant Vector include the following:
The head to tail approach includes connecting up the head of one vector with the tail of the other to compute a consequent.
To compute the resulting vector, use the parallelogram approach. This approach uses parallelogram characteristics but boils down to a simple formula in the end.
Hence, the magnitude of the resultant of two vectors A and B $\sqrt {{A^2}\; + {\text{ }}{B^2}\; + {\text{ }}2AB{\text{ }}cos\theta }$

Note: A vector quantity is one whose magnitude and direction are both completely stated. A scalar quantity, on the other hand, is a quantity that is fully characterised by its magnitude. The focus of this section is on learning some basic vector concepts and applying those concepts to comprehend motion and forces in two dimensions.