The condition is the two vectors are perpendicular to each other.
The smallest magnitude resulting from the addition of vectors with individual magnitudes of 4 and 3 is 1, obtained when the directions of the two component vectors are 180 degrees apart.
It's impossible as the addition of two vectors is commutative i.e. A+B = B+A.For subtraction of two vectors, you have to subtract a vector B from vector A.The subtraction of the vector B from A is equivalent to the addition of (-B) with A, i.e. A-B = A+(-B).
No. The order of adding vectors does not affect the magnitude or direction. of the result.
The magnitude of two displacement vectors, of magnitude x and y, is sqrt(x2 + y2)
It is impossible if the two vectors are of unequal magnitude.
Yes.
A characteristic of a correctly drawn vector diagram is that the direction and magnitude of the vectors are accurately represented using appropriate scales. Additionally, the geometric arrangement of the vectors should follow the rules of vector addition or subtraction, depending on the context of the problem.
Vectors in physics are useful for representing physical quantities with both magnitude and direction, such as force, velocity, and acceleration. They allow for the accurate description of motion and interactions in three-dimensional space. By using vectors, physicists can easily perform vector addition, subtraction, and multiplication to analyze complex systems.
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.
If they are of equal magnitude and opposite direction.
The smallest magnitude resulting from the addition of vectors with individual magnitudes of 4 and 3 is 1, obtained when the directions of the two component vectors are 180 degrees apart.
Forces are considered vectors because they have both magnitude (strength of the force) and direction. This vector nature allows us to use vector addition and subtraction to analyze the effects of multiple forces acting on an object in different directions.
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.
No, the resultant of two vectors of the same magnitude cannot be equal to the magnitude of either of the vectors. The magnitude of the resultant of two vectors is given by the formula: magnitude = √(A^2 + B^2 + 2ABcosθ), where A and B are the magnitudes of the vectors and θ is the angle between them.
That really depends on the type of vectors. Operations on regular vectors in three-dimensional space include addition, subtraction, scalar product, dot product, cross product.
It's impossible as the addition of two vectors is commutative i.e. A+B = B+A.For subtraction of two vectors, you have to subtract a vector B from vector A.The subtraction of the vector B from A is equivalent to the addition of (-B) with A, i.e. A-B = A+(-B).
Vectors and Scolars Vectors: have an magnitude and a direction Scolars: have an magnitude but have no direction