Divide the vector by it's length (magnitude).
In a court, throwing out, reversing, and overturning mean the same thing. In a literal sense, invert, capsize, or reverse could all mean the same thing, given certain contexts.
The function varies in the same direction as 'x' does. If 'x' is decreasing, then the function is also decreasing.
Selling a naked put is a bullish strategy, and is mathematically the same as a covered call write, where you buy something and sell a call against it. Selling a naked call is a bearish strategy, and is the same as covered short write, where you short something and write a put against it. In either case, you make money from time decay, falling volatility, or a move in the direction that you want.
-4, -2, 0, and 2 are the four consecutive even integers. When you add them up they equal -4.
It is the rate of change at one given moment, and it is the same as the value of the derivative at a particular point. The point may be thought of as that given moment. When we talk about functions, the instantaneous rate of change at a point is the same as the slope, m, of the tangent line.. Sometimes we think of it as the slope of the curve. The best way to understand this is with the difference quotient and limits. The difference quotient is the average rate of change of y with respect to x. If we then look at the difference quotient and we let delta x ->0, this will be the instantaneous rate of change. In other words, the time interval gets smaller and smaller. Difference quotient is delta y/ delta x where delta represents the change.
That's it! You know everything there is to know about it. It's not as if you have to wander through a crowd of vectors and find one that matches the description. "Find the vector" means figure out its magnitude and direction. If the problem already gave you the magnitude and direction, then it's unlikely that it's asking you to 'find' that same vector.
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.
You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.
Any other vector with with the same magnitude and the same direction.
The magnitude is the same, the direction vector is not.
If the scalar is > 1 the resultant vector will be larger and in the same direction. = 1 the resultant vector will be the same as the original vector. between 0 and 1 the resultant vector will be smaller and in the same direction. = 0 the resultant vector will be null. If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.
Yes.
Acting simultaneously along the same line and in the same direction, they have the same effect as a single vector in that direction with a magnitude of 13 N.
parallel
It is a vector with the same magnitude (size) but acting in the opposite direction.
By vector addition
Same direction and equal magnitudes.