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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).
The angle between the rectangular components of a vector can be calculated using trigonometry. You can use the arctangent function to find the angle. For example, if you have a vector with components (x, y), the angle would be arctan(y/x).
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
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How a vector can be expressed polar component?
A vector can be expressed in polar components by breaking it down into its magnitude and direction. The magnitude is the length of the vector, and the direction is given by an angle with respect to a reference axis, typically the positive x-axis. This can be represented as (magnitude, angle).
Is angle a vector?
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.
Is the magnitude of a vector the same as the angle formed by the vector?
No, the magnitude of a vector is the length of the vector, while the angle formed by a vector is the direction in which the vector points relative to a reference axis. These are separate properties of a vector that describe different aspects of its characteristics.
What is a characteristic of a vector?
A characteristic of a vector is that it has both magnitude and direction. Vectors are often represented by an arrow, with the length of the arrow indicating the magnitude and the direction of the arrow indicating the direction of the vector.
What is scalar and vector product simplify?
Scalar product (or dot product) is the product of the magnitudes of two vectors and the cosine of the angle between them. It results in a scalar quantity. Vector product (or cross product) is the product of the magnitudes of two vectors and the sine of the angle between them, which results in a vector perpendicular to the plane containing the two original vectors.
What is the angle between the given vector and the positive direction of the x-axis Round the answer to the nearest degree i plus 14 j?
Just use the rectangular-to-polar conversion on your scientific calculator. That will give you the length of the vector, and its angle.
How do you change the magnitude of the resultant vector between two if the angle between them decreases?
If the angle decreases, the magnitude of the resultant vector increases.
In a 2 - dimensional cartesian coordinate system the y-component of a given vector is equal to the vector magnitude multiplied by which trigonometric function with respect to the angle between vector?
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?
What can you say about two vectors if vector A vector B 0?
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.
What is the angle between vector a and vector b when mode of vector a plus vector b is equal to mode of vector a minus vector b?
90 degrees
How a vector can be expressed polar component?
A vector can be expressed in polar components by breaking it down into its magnitude and direction. The magnitude is the length of the vector, and the direction is given by an angle with respect to a reference axis, typically the positive x-axis. This can be represented as (magnitude, angle).
What is the flight path?
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
How do you find the component of a vector perpendicular to another vector?
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.
How do you find the dot product ab of two vectors if you know their lengths and the angle between them?
<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.
Define the angle of the resultant vector?
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.
Is angle a vector?
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.
Vector A plus vector B equals 2i and vectorA-vectorB equals 4j then angle between vectorA and vectorB is?
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).
