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Direction and magnitude

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Q: What are two characteristics of a vector?
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Does The direction a vector is drawn in indicate the magnitude of the vector?

No. The two characteristics of a vector ... its magnitude and its direction ... are independent of each other. Either one can change without affecting the other, and neither one tells you any information about the other. On a drawing, the direction of the vector indicates nothing concerning the magnitude. The length of the vector is usually used to indicate its magnitude, on a drawing.


Vector that shows the combined effect of two or more vector?

Resultant vector or effective vector


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).


Can two vectors of unequal magnitude add up to give the zero vector?

No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.


What is the product of two vector quantities?

It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.