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Resultant vector or effective vector
In 2 dimensional space it is a translation vector which is a 2x1 column vector.
It is a three dimension vector : (x, y, z). It could be either a row vector or a column vector.
The modulus of a vector is its absolute value. It is the [positive] size or magnitude of the vector, ignoring its direction.In two dimensional space, and using Pythagoras,the modulus of the vector (x,y) is sqrt(x^2 + y^2)In 3-dimensional space, the modulus of the vector (x, y, z) is sqrt(x^2 + y^2 + z^2)The concept can be extended to higher dimensions analogously.
The zero vector occurs in any dimensional space and acts as the vector additive identity element. It in one dimensional space it can be <0>, and in two dimensional space it would be<0,0>, and in n- dimensional space it would be <0,0,0,0,0,....n of these> The number 0 is a scalar. It is the additive identity for scalars. The zero vector has length zero. Scalars don't really have length. ( they can represent length of course, such as the norm of a vector) We can look at the distance from the origin, but then aren't we thinking of them as vectors? So the zero vector, even <0>, tells us something about direction since it is a vector and the zero scalar does not. Now I think and example will help. Add the vectors <2,2> and <-2,-2> and you have the zero vector. That is because we are adding two vectors of the same magnitude that point in opposite direction. The zero vector and be considered to point in any direction. So in summary we have to state the obvious, the zero vector is a vector and the number zero is a scalar.
southnorth of eastwestnorthApex answer is:B. 35 degrees insideC. Outside 45 degrees
quantities that have direction. e.g motion if you go forward 3 spaces in a car = 3 , if you go backward 3 spaces = -3
Vectors are combined by adding or subtracting their corresponding components. For two-dimensional vectors, you add/subtract the x-components together and the y-components together to get the resulting vector. For three-dimensional vectors, you perform the same process with the addition of the z-components.
That simply means that the direction of the acceleration is relevant. For example, if something is moving in the "forward" direction, it isn't the same if we accelerate it forward, backward, or sideways. The results are different.Also, acceleration is calculated as dv/dt, meaning you divide a velocity difference by a time. Since velocity is itself a vector, acceleration is also a vector.
Resultant vector or effective vector
No.
In 2 dimensional space it is a translation vector which is a 2x1 column vector.
Resultant vector.
Both the odometer and speedometer are scalar because a vector measurement needs a magnitude and direction. If you, for example, combined a compass and a odometer/speedometer, you'd have a vector.
false A car can have a negative acceleration and be speeding up. A negative acceleration determines the direction of the acceleration A car with forward acceleration will speed up in the forward direction A car moving forward with a negative acceleration will slow down A car not moving with a negative acceleration will speed up in the backward direction A car moving backward with a negative acceleration will speed up in the backward direction
Two or more velocities can be combined by vector addition. To add velocities, the direction and magnitude of each velocity must be taken into account. The result will be a new velocity that represents the combined effect of the individual velocities.
It is a three dimension vector : (x, y, z). It could be either a row vector or a column vector.