If the components are in the i and j directions, for example, then if the vector is mi + nj then the coefficients m and n can be used to find the magnitude and direction.
The magnitude is the hypotenuse of a right triangle with legs m and n, so it is sqrt(m² + n²).
Rectangular components of vector have an angle of 90 degrees.
if you have a vector that moves diagonally.. it's rectangular components are basically how much it moves vertically and how much it moves horizontally
rectangular components of vector
I will assume a vector in a plane - in two dimensions. The idea of polar coordinates is that the vector is expressed as its length, and an angle. If you already have the vector in rectangular coordinates, i.e. the x and y components, most scientific calculators have a function that might be labelled R->P, to convert from rectangular coordinates to polar coordinates. Otherwise, use basic trigonometry - but using the specialized function is much faster, if your calculator has it.
This isn't a simple yes or no question.An angle is a scalar quantity, and a vector is a ... well, vector... quantity. However, there is a relation between the two, and in two dimensions (for example) it's possible to specify a vector in terms of its magnitude and a "vector angle"; that is, the angle it makes with an axis (generally the x-axis, by convention) of the coordinate system.Sometimes the word "vector" is used in a non-mathematical sense to simply mean a direction, not a magnitude. (One example would be in navigation, where the "vector" to another object is the direction it's in; range is treated separately, though in the mathematical sense vector encompasses both direction and range.) In this case it can be more or less equivalent to an angle.
A scalar quantity has an angle which is an even multiple of 90 degrees. A vector quantity has an angle which is an odd multiple of 90 degrees. A quaternion has any angle and includes the scalar and the vector; quaternion q = cos(angle) + unit-vector sin(angle)
Solid angle is vector quantity. BY WAHID BUX MAHAR
Velocity is a vector quantity(it has a direction). Simply use the vector adding method to combine velocities.
Just use the rectangular-to-polar conversion on your scientific calculator. That will give you the length of the vector, and its angle.
If the angle decreases, the magnitude of the resultant vector increases.
I disagree with the last response. It is implied that the angle you are speaking of is the angle between the x-axis and the vector (this conventionally where the angle of a vector is always measured from). The function you are asking about is the sine function. previous answer: This question is incorrect, first of all you have to tell the angle between vector and what other thing is formed?
Depends on the situation. Vector A x Vector B= 0 when the sine of the angle between them is 0 Vector A . Vector B= 0 when the cosine of the angle between them is 0 Vector A + Vector B= 0 when Vectors A and B have equal magnitude but opposite direction.
90 degrees
HELLO, im a bus driver and i can say that the (FPA )flight path angle is the angle Between the local horizontal and the local velocity vector , One can also support that is the angle between the local velocity vector and The torque vector, torque being opposite to drag, merci
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.
<ab> = |a|*|b|*cos(x) where |a| is the length of the vector a, |b| is the length of the vector b, and x is the angle between them.
The resultant vector is the vector that 'results' from adding two or more vectors together. This vector will create some angle with the x -axis and this is the angle of the resultant vector.
using the "dot product" formula, you can find the angle. where |a| denotes the length (magnitude) of a. More generally, if b is another vector : where |a| and |b| denote the length of a and b and θis the angle between them. Thus, given two vectors, the angle between them can be found by rearranging the above formula: : :
I will assume a vector in a plane - in two dimensions. The idea of polar coordinates is that the vector is expressed as its length, and an angle. If you already have the vector in rectangular coordinates, i.e. the x and y components, most scientific calculators have a function that might be labelled R->P, to convert from rectangular coordinates to polar coordinates. Otherwise, use basic trigonometry - but using the specialized function is much faster, if your calculator has it.
I've got to assume that your ' i ' and your ' j ' are the same thing.Vector A = j3Vector B = -j1The angle between them is (pi).