Measuring a vector requires a reference. You'll need something that will allow you to find direction, and a unit length so you can find magnitude. A graph is a good way to do this, and something with a standard x and y axis (Cartesian coordinates) is just the ticket. Our graph has an origin, and that can be your starting point. Starting there, and using the x-axis as zero degrees, find your angle. Then draw a segment out along that axis the appropriate length. You now have a vector with its angle (direction) and length (magnitude).
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A vector is like an arrow. It points in the relevant direction and its length is a measure of the distance.
No, a millilitre is a measure, so it is neither scalar nor vector. It is a measure of volume and that is a scalar.
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
Vector spaces can be formed of vector subspaces.