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Can the sum of two vectors be equal to either of the vectors explain?
No, the sum of two vectors cannot be equal to either of the vectors individually. In vector addition, the resultant vector is determined by the magnitude and direction of the individual vectors. The sum of two vectors represents the combination of their effects, resulting in a new vector with different properties than the original vectors.
The resultant between 2 vectors can be found by placing the vectors?
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Why the gold does not show magnetic properties?
The atoms are not aligned in one direction known as vectors. Such alignment is necessary for magnetic properties to occur.
What are the properties Of basis?
The properties of a basis in a vector space include linear independence, spanning, and the ability to uniquely express any vector in the space as a linear combination of the basis vectors. A basis must consist of a set of vectors that are linearly independent, meaning none of the vectors can be written as a combination of the others. Additionally, the basis must span the vector space, ensuring that every vector in the space can be represented using the basis vectors. Lastly, the number of vectors in a basis is equal to the dimension of the vector space.
What is the sum of 2 or more vectors called?
The sum of 2 or more vectors is called the resultant vector. It is the single vector that represents the combined effect of all the individual vectors added together.
Can the sum of 2 vectors be 0 if they are of unequal magnitude?
It is impossible if the two vectors are of unequal magnitude.
Explain what is meant by a concurrent vectors?
Concurrent vectors are vectors that have a common point of intersection. This means that when drawn with their initial point at the same point, their terminal points all meet at a single common point.
What is the sum of 2 vectors?
To find the sum of two vectors, you add their corresponding components together. For example, if you have two vectors A = (3, 5) and B = (2, -1), the sum would be A + B = (3 + 2, 5 + (-1)) = (5, 4).
Can the resultant or two vectors of the same magnitude be equal to the magnitude of either of the 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.
What does the addition of 2 vectors give you?
Adding two vectors results in a new vector that represents the combination of the two original vectors. The new vector is defined by finding the sum of the corresponding components of the two vectors.
1 For the two vectors find the scalar product AB and the vector product?
For two vectors A and B, the scalar product is A.B= -ABcos(AB), the minus sign indicates the vectors are in the same direction when angle (AB)=0; the vector product is ABsin(AB). Vectors have the rule: i^2= j^2=k^2 = ijk= -1.
When adding two vectors at right angles is the resultant of the vectors the algebraic sum of the two vectors?
No. Vectors add at rightangle bythe pythagoran theorem: resultant sum = square root of (vector 1 squared + vector 2 squared)
