What is the law of vector algebra?
Vector algebra in geometric form Two vectors u and v are equal if they have the same magnitude (length) and direction. The Negative of a Vector The negative of the vector u is written -u, and has the same magnitude but opposite direction to u. If u = , then -u = . Commutative Law of Addition. for all vectors v and u.
What is the law of vector addition?
Triangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.
Does vector follow commutative law?
Vector addition is commutative, just like addition of real numbers. If you start from point P you end up at the same spot no matter which displacement (a or b) you take first. The head-to-tail rule yields vector c for both a + b and b + a.
What is commutative property of vector?
Addition of vectors satisfies two important properties. The commutative law, which states the order of addition doesn’t matter: a+b=b+a.
What are commutative laws?
Commutative law, in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + b = b + a and ab = ba. From these laws it follows that any finite sum or product is unaltered by reordering its terms or factors.
What is the use of null vector?
null vector is a vector which has zero magnitude and arbitrary direction. If we multiply any vector with zero result can’t be taken as zero, it’s should be zero vector, thus here lies the significance of zero vector.
What is direction of a zero vector?
The zero vector has no particular direction; this is consistent with the fact that it is orthogonal to every other vector. (It doesn’t really make sense to say it has “direction 0”, since direction is not a magnitude; “direction 0” makes no more sense than “direction 1” or “direction 5.873”.)
Can three unequal forces add up to zero?
Yes! resultant of three unequal forces can be equal to zero. for example. The resultant force of these three forces will be zero on any object.
Under what condition is the resultant of three unequal forces zero?
Answer. Explanation: If one force of 5N from one is applied and the two force of 2N and 3N is applied respectively then the resultant force will be equal to 0 .