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.
Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule
NO
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. 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.
An operator is a mapping from one vector space to another.
the opposite to vector addition is vector subtraction.
No, it is not.
Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule
No, changing order of vectors in subtraction give different resultant so commutative and associative laws do not apply to vector subtraction.
NO
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. 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.
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Similar to subtraction of real numbers, to subtract a vector means to add the opposite vector. Here is an example: Subtract (5, 3) - (2, -2) This is equivalent to (5, 3) + (-2, 2) Add by components: (5-2, 3+2) = (3, 5)
An operator is a mapping from one vector space to another.
They are nothing since there is no such word!
HelloAnswer to your QuestionSuppose we have to subtract vector B from the vector A.We can write it ARITHMETICALLY asA-B= A+(-B)Now we can determine the resultant of A and negative vector (-B) by usual adition of vectors method.Hence, according to fig. draw the representative line PQ of first vector A. Now draw the representative line Qr of the vectore B from the head of vector A in opposite direction . Join P to R, then PR represents the resultant vector C, i.e.,C = A-B----------------------------------------------------------------------------------------------------This is an example for subtraction of vector.By the ways if you want any other details from my side you can talk to me on my live id Dove_786@live.com.THANKS,Nawal Fatima.Pakistan..----------------------------------------------------------------------------------------HelloAnswer to your QuestionSuppose we have to subtract vector B from the vector A.We can write it ARITHMETICALLY asA-B= A+(-B)Now we can determine the resultant of A and negative vector (-B) by usual adition of vectors method.Hence, according to fig. draw the representative line PQ of first vector A. Now draw the representative line Qr of the vectore B from the head of vector A in opposite direction . Join P to R, then PR represents the resultant vector C, i.e.,C = A-B----------------------------------------------------------------------------------------------------This is an example for subtraction of vector.By the ways if you want any other details from my side you can talk to me on my live id Dove_786@live.com.THANKS,Nawal Fatima.Pakistan..----------------------------------------------------------------------------------------