Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
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).
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
The opposite of vector addition is vector subtraction, while the opposite of vector subtraction is vector addition. In vector addition, two vectors combine to form a resultant vector, whereas in vector subtraction, one vector is removed from another, resulting in a different vector. These operations are fundamental in vector mathematics and physics, illustrating how vectors can be combined or separated in different contexts.
equal and opposite
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
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).
The direction of the resultant vector with zero magnitude is indeterminate or undefined because the two equal and opposite vectors cancel each other out completely.
Only if one of them has a magnitude of zero, so, effectively, no.
Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vector of unequal magnitude cannot be added to give null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
The opposite of vector addition is vector subtraction, while the opposite of vector subtraction is vector addition. In vector addition, two vectors combine to form a resultant vector, whereas in vector subtraction, one vector is removed from another, resulting in a different vector. These operations are fundamental in vector mathematics and physics, illustrating how vectors can be combined or separated in different contexts.
equal and opposite
Yes, the component of a non-zero vector can be zero. A non-zero vector can have one or more components equal to zero while still having a non-zero magnitude overall. For example, in a two-dimensional space, the vector (0, 5) has a zero component in the x-direction but is still a non-zero vector since its y-component is non-zero.
Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule
Three. Equal forces, two.
Only if one of them has a magnitude of zero, so, effectively, no.