If a vector is broken up into components the angle between the components is 90 degrees.
Here is how to solve this. Decide on a direction for each vector. Use your scientific calculator to do a polar-to-rectangular conversion - i.e., separate each vector in horizontal and vertical components. (Check your calculator's manual on how to carry out a polar-to-rectangular conversion.) Add the vectors by components. Finally, convert back to polar (rectangular-to-polar conversion, on your scientific calculator).
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?
That alone is not a vector, as a vector has both definite direction and amplitude, such as the course of an aircraft or the components of a triangle of forces. Drawing an angle of 180º between two straight lines would give simply one straight line, chaining one to the other.
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 a vector is broken up into components the angle between the components is 90 degrees.
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.
Just use the rectangular-to-polar conversion on your scientific calculator. That will give you the length of the vector, and its angle.
Here is how to solve this. Decide on a direction for each vector. Use your scientific calculator to do a polar-to-rectangular conversion - i.e., separate each vector in horizontal and vertical components. (Check your calculator's manual on how to carry out a polar-to-rectangular conversion.) Add the vectors by components. Finally, convert back to polar (rectangular-to-polar conversion, on your scientific calculator).
INTRODUCTIONRectangular component method of addition of vectors is the most simplest method to add a number of vectors acting in different directions.DETAILS OF METHODConsider two vectors making angles q1 and q2 with +ve x-axis respectively.STEP #01Resolve vector into two rectangular components and .Magnitude of these components are:andSTEP #02Resolve vector into two rectangular components and .Magnitude of these components are:andFor latest information , free computer courses and high impact notes visit : www.citycollegiate.comSTEP #03Now move vector parallel to itself so that its initial point (tail) lies on the terminal point (head) of vector as shown in the diagram.Representative lines of and are OA and OB respectively.Join O and B which is equal to resultant vector of and STEP #04Resultant vector along X-axis can be determined as:STEP # 05Resultant vector along Y-axis can be determined as:STEP # 06Now we will determine the magnitude of resultant vector.In the right angled triangle DBOD:HYP2 = BASE2 + PERP2STEP # 07Finally the direction of resultant vector will be determined.Again in the right angled triangle DBOD:Where q is the angle that the resultant vector makes with the positive X-axis.In this way we can add a number of vectors in a very easy manner.This method is known as ADDITION OF VECTORS BY RECTANGULAR COMPONENTS METHOD. For latest information , free computer courses and high impact notes visit : www.citycollegiate.com
Not necessarily.
You can add vectors graphically (head-to-foot). Mathematically, you can add the individual components. For example, in two dimensions, separate the vector into x and y components, and add the x-component for both vectors; the same for the y-component.Here it may be useful to note that scientific calculator have a special function to convert from polar to rectangular coordinates, and vice-versa. If you RTFM (the calculator manual, in this case), it may help a lot - a vector may be given in polar coordinates (a length and an angle); using this special function on the calculator can do the conversion to rectangular (x- and y-components) really fast.
If the angle decreases, the magnitude of the resultant vector increases.
Impedance is a vector quantity because it has both a magnitude and a phase angle associated with it. The magnitude represents the resistance and reactance components, while the phase angle accounts for the relationship between the current and voltage in an AC circuit.
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?
That alone is not a vector, as a vector has both definite direction and amplitude, such as the course of an aircraft or the components of a triangle of forces. Drawing an angle of 180º between two straight lines would give simply one straight line, chaining one to the other.