Their directions are perpendicular.
when the vectors are not all pointing in the same direction
Yes, a resultant vector is the vector sum of the two vectors. It has it's own direction and magnitude.
The related question has a nice detail of this. Each vector is resolved into component vectors. For 2-dimensions, it is an x-component and a y-component. Then the respective components are added. These added components make up the resultant vector.
The sum of two null vectors is a null vector. And since a direction is not relevant for a null vector, the resultant has no direction either.
A vector is a quantity with magnitude and direction. Since force has magnitude and direction, it is a vector
opposite direction.
when the vectors are not all pointing in the same direction
It has both velocity and direction. A vector has direction and magnitude.
can a vector have a component greater than the vector magnitude
resultant vector is a vector which will have the same effect as the sum of all the component vectors taken together.
it depends on the method of subtraction. If the vectors are drawn graphically then you must add the negative of the second vector (same magnitude, different direction) tail to tip with the first vector. If the drawing is to scale, then the resultant vector is the difference. If you are subtracting two vectors <x1, y1> - <x2, y2> then you can subtract them component by component just like scalars. The same rules apply to 3-dimensional vectors
Two methods can be used for vector addition. (1) Graphically. Place the vectors head-to-tail, without changing their direction or size. (2) Analytically, that is, mathematically. Add the x-component and the y-component separately. The z-component too, if the vectors are in three dimensions.
No.
The magnitude of dot product of two vectors is equal to the product of first vector to the component of second vector in the direction of first. for ex.- A.B=ABcos@
Yes, vectors must have the direction. Without direction, it is simply a scalar quantity.
Yes, a resultant vector is the vector sum of the two vectors. It has it's own direction and magnitude.
The component of a vector x perpendicular to the vector y is x*y*sin(A) where A is the angle between the two vectors.