Q: What is the angle between the rectangular components of a vector?

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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.

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.

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?

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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.

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).

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).

Just use the rectangular-to-polar conversion on your scientific calculator. That will give you the length of the vector, and its angle.

To add vectors by rectangular components, simply add the corresponding components of each vector. For example, if vector A has components (Ax, Ay) and vector B has components (Bx, By), then the sum of the two vectors can be found by adding the x-components (Ax + Bx) and the y-components (Ay + By) to obtain the resultant vector.

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.

Not necessarily.

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.

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.

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?