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Vectors are added graphically tip to tail. You subtract vector B from vector A by adding vector -B to vector A. Where -B means a vector that points in the opposite direction as B , but has same magnitude. For example to subtract B (magnitude 4, points left) from vector A (magnitude 3, points up), first draw A, then draw -B (magnitude 4, points right) ,starting -B at the tip of A. Then the vector that connects the tail of A to the tip of -B is the difference A - B or A + (-B) . In this example A & -B form the legs 3 & 4 of a right triangle so the hypotenuse (which is A - B) is 5.
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What is opposite to vector addition and subtraction?
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.
Does the subtraction of two vectors obey the commutative law?
Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule
Is commutative law applicable to vector subtraction?
NO
Is it possible for vector A plus vector B to equal vector A - vector B?
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).
Does commutative law applied to the vector subtraction?
No. It is the same as when you subtract normal numbers. a - b is not the same as b - a. However, if you convert the subtraction to an addition, you can use the commutative law - both with normal subtraction and with vector subtraction. That is, a - b, which can be written as a + (-b), is the same as -b + a.
What is opposite to vector addition and subtraction?
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.
What is the opposite to vector addition?
the opposite to vector addition is vector subtraction.
Is vector subtraction commutative?
No, it is not.
Does the subtraction of two vectors obey the commutative law?
Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule
Do the commutative and associative laws apply to vector subtraction?
No, changing order of vectors in subtraction give different resultant so commutative and associative laws do not apply to vector subtraction.
Is commutative law applicable to vector subtraction?
NO
Is it possible for vector A plus vector B to equal vector A - vector B?
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).
Does commutative law applied to the vector subtraction?
No. It is the same as when you subtract normal numbers. a - b is not the same as b - a. However, if you convert the subtraction to an addition, you can use the commutative law - both with normal subtraction and with vector subtraction. That is, a - b, which can be written as a + (-b), is the same as -b + a.
What is the reverse process of vectors addition?
reverse process of vector addition is vector resolution.
Which of the following values could possibly be vector magnitudes meaning that combined with a direction they could become vector quanities?
6 miles5 meters30 kilometers/hourappexx30 kilometers/hour5 meters6 miles
What is an inverse vector?
An inverse vector typically refers to a vector that, when added to a given vector, results in the zero vector. In mathematical terms, if you have a vector ( \mathbf{v} ), its inverse, often denoted as ( -\mathbf{v} ), is obtained by negating each of its components. This concept is fundamental in vector spaces and helps in understanding operations like vector addition and subtraction. In a broader context, it can also relate to inverse operations in linear algebra.
Why is it important that momentum id a vector?
It is important that momentum is a vector because it has both magnitude and direction. This enables us to analyze how an object's motion changes in response to external forces. By treating momentum as a vector, we can apply principles of vector addition and subtraction to better understand the overall motion of an object.
