A vector always consists of a direction and magnitude. For example, a vector representing the weight of an object that is 35N would be represented as an arrow pointing downward with a magnitude of 35N. You could also represent the weight of 35N as -35N, in which the negative symbol indicates a downward force.
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Answer: A vector is always the product of 2 scalars
If all the components of a vector are zero, the magnitude of the vector will always be zero.
The magnitude of a vector is always treated as non negative and the minus sign indicates the reversal of that vector through an angle of 180 degree.
Element by element. That is: Sum all the first elements to get the first element of the result; Sum all the second elements to get the second element of the result...The vector sum is obtained by adding the two quantities. The vector difference is obtained by subtracting one from the other. Hint: 'sum' always means addition is involved, 'difference' always means subtraction is involved.* * * * *That is the algebraic answer. There is also a geometric answer.To sum vectors a and b, draw vector a. From the tip of vector a, draw vector b. Then a + b is the vector from the base of a to the tip of b. To calculate a - b, instead of drawing b,draw the vector -b, which is a vector of the same magnitude as b but going in the opposite direction.
Vectors have magnitude and direction. The magnitude is always a positive number.