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What are the formulas for the adjacent and the opposite component of a vector?
If a vector, of magnitude v, makes an angle of Φ with the adjacent side then the adjacent component = v*cos(Φ), and opposite component = v*sin(Φ)
Is the opposite of the opposite the opposite?
The opposite (antonym) of opposite is same.
What is the correct preposition for opposite?
opposite of opposite to opposite from
State 3 conditions for sine wave oscillation to be generated?
there is a variable component of motion in the direction at right angles to the direction of propagation of the wave.acceleration is directly proportional to displacement from the direction of propagation of the wave, andthe direction of acceleration is opposite to that of the displacement.
How do you draw a vector triangle from information presented to you?
Finding the Components of a VectorThe parts of a vector are the components of a vector.The word components, in the following context, means parts. So, to talk about the components of a vector, we mean the parts of a vector.For a great amount of situations the important parts of a vector are it's x-part and its y-part, or its x-component and its y-component. Here we will see how to find the x-component and the y-component of a vector.The vector we will use in the following discussion is a force vector. The methods shown here, though, are true for any vector, such as a displacement, velocity, or acceleration vector.To see an interactive demonstration showing several ways to visualize x- and y-components of a vector see the Components of a Vector page.Also, you could visit the Force Component Machine and see how this all applies to a two dimensional force vector.Force vector exampleHere on the (x, y) set of axes is the force vectorthat we will be dealing with:Seeing the x-componentIf you drop a line from the tip of the original vectorstraight down to the x-axis and draw a vector along the x-axis from the origin to where this line hits the x-axis, then this newly drawn vector is the x-componentof the original vector. In the diagram the line that was dropped down is shown as a thin black line and the x-componentis shown as a redvector:The tip of the x-component vectoris directly below the tip of the original vector.Seeing the y-componentIn the following diagram the thin black horizontal line marks how high up the original vector rises. A vertical vector, (parallel to the y-axis), which rises to this height is called the y-componentof the original vector. The y-componentis shown below in green:The x- and y-components form a right triangle.When both the x-componentand the y-componentare drawn, a right triangleis formed with the original vectorbeing the hypotenuse:You can calculate the sides of the triangle using trigonometry.This right triangle will allow us to to do right triangle trigonometryusing SOH-CAH-TOA definitions. Those definitions are briefly explained here, and they are explained in much more depth in the Right Triangle Trigonometry section in the Trigonometry Realms of Zona Land.Here we will use the Greek letter theta to represent an acute angle in a right triangle. The letter theta looks like this:Here are the right triangle definitions for the sine, cosine, and tangent of an acute angle in a right triangle:Usually we just summarize these three definitions with these three short sentences:The sine equals opposite over hypotenuse. The cosine equals adjacent over hypotenuse. The tangent equals opposite over adjacent.Again, if these definitions are new material, see the Right Triangle Trigonometry section for more information.Here, the x-component is adjacent and the y-component opposite to the angle.Now, let's get back to our right triangle formed by the original vectorand its x-componentand y-component. Here's the diagram, fully labeled:Notice that the x-componentforms the side adjacent to the 35 degree angle, and that the y-componentforms the opposite side to the 35 degree angle.This is how to calculate the value for the x-component.Let's find the size of the x-component; that is, let's find the size of the adjacent side.We know the hypotenuse, (316 Newtons), and we know the angle, (35 degrees). We want to find the length of the adjacent side, (x-component). What trigonometry function relates the hypotenuse, an acute angle and its adjacent side in a right triangle? The cosine function does. The math looks this way:Now, since the original vector is named F, its x-component is named Fx. This would be read 'F sub x'. So, in the above math we should remove 'x-component' and replace that term with Fx, as in:We can solve for Fx by doing a little algebra and looking up the cosine of thirty-five degrees:So, the x-component of the original vector is equal in size to 259 Newtons.Now, realize this: The method for finding the x-component described here will not tell you the sign, (+ or -) for its value. This method will only tell you the size of the component. Notice that the x-component is pointing to the right. This makes it a positive x-component. (It would be negative if it pointed to the left.) So, we would would finally conclude that the x-component has a size of positive 259 Newtons.This is the calculation for the y-component.Okay, now let's find the size of the y-component; that is, let's find the size of the opposite side.Again, we know the hypotenuse, (316 Newtons), and we know the angle, (35 degrees). We want to find the length of the opposite side, (y-component). It is the sine function that relates the hypotenuse, an acute angle and its opposite side in a right triangle. The math looks this way:Now, since the original vector is named F, its y-component is named Fy which would be read 'F sub y'. So, in the above math we should remove 'y-component' and replace that term with Fy, as in:We can solve for Fy much like we solved for Fx:So, the y-component of the original vector is equal in size to 181 Newtons.Again, like in the case of the x-component, we must look at the diagram to correctly interpret the sign, (+ or -), of this y-component. This y-component is pointing up, so it is positive. (It would be negative if it pointed down.) Finally, we conclude that the y-component has a size of positive 181 Newtons.Related materialAgain, to see the many ways that vectors can be drawn or visualized, look at the Components of a Vector page, and be sure to see the Force Component Machine to see how this all works out for force vectors.
What are the formulas for the adjacent and the opposite component of a vector?
If a vector, of magnitude v, makes an angle of Φ with the adjacent side then the adjacent component = v*cos(Φ), and opposite component = v*sin(Φ)
What is the demagnetizing component of armature reaction?
it is the flux which is flowing opposite to the main field flux and demaganetize it... in order to eliminate this demagnetiszing component we have to connect the compensating winding in series with the armature winding which develop the flux in it oppose to the demagnetizing component
When is a cross product zero?
When the component vectors have equal or opposite directions (sin(Θ) = 0) i.e. the vectors are parallel.
What is the opposite of parallel circuits?
It is not the "opposite" but the major alternative to parallel, which is a series circuit. In parallel circuits, each component has its own circuit path (input to output), while in series the components are connected to one another in a line.
What is the opposite of a parallel circuit?
It is not the "opposite" but the major alternative to parallel, which is a series circuit. In parallel circuits, each component has its own circuit path (input to output), while in series the components are connected to one another in a line.
How does the direction of the acceleration along determine if the object is speeding up or slowing down?
Take the component of the acceleration along the direction the object is moving. If this component is positive (the acceleration vector, or the relevant component, points in the same direction as the movement), then the object is speeding up.
What is A boat moves at an angle of 60 in a horizontal line The x component of the boats velocity is 5 m s What is its y component of velocity?
The y component of velocity can be found using trigonometry. Since the angle is 60 degrees, the formula to calculate the y component of velocity is: y component = x component * tan(angle). Given the x component of velocity as 5 m/s and the angle of 60 degrees, the y component of velocity is approximately 8.66 m/s.
Is discrete is a type of resistor?
A discrete component is one where the package contains only one circuit element. The opposite is an "integrated circuit" (aka a "silicon chip" or "chip") where a package contains many circuit elements. It's not that "discrete" is a type of resistor, it's that a resistor is a type of discrete component.
What are the components of interpersonal communication skills?
component one component two component three component four component five
What are the component of self?
1. Perceptual component. 2. Conceptual component. 3. Attitudinal component.
What are the four components of an interface?
electrical component, mechanical component, functional component and procedural component
If one component of a vector A is zero along the direction of another vector B then in what direction the two vectors will be?
If one component of vector A is zero along the direction of vector B, it means the two vectors are orthogonal or perpendicular to each other. Their directions would be such that they are at a right angle to each other.
