Wiki User
∙ 12y agoWe can see that you posted your question twice, and left out different parts each time.
Fortunately, our crack WA cryptographic team was able to piece them together, and
we now believe that we know what you're trying to ask.
If we're correct, you have a vector of 100 units, pointing at an angle of 45 degrees ...
up and to the right, exactly between the positive 'x' and 'y' axes.
-- The horizontal component is 100 cos(45) = 100 x 1/2 sqrt(2) = 50 sqrt(2) = 70.711 (rounded)
-- The vertical component is 100 sin(45) = 100 x 1/2 sqrt(2) = 50 sqrt(2) = 70.711 (rounded)
Wiki User
∙ 12y agoAsk Sir JB.
vectors
If the initial velocity is v, at an angle x to the horizontal, then the vertical component is v*sin(x) and the horizontal component is v*cos(x).
The answer below assumes you are required to find the components of the vector. A vector with unity magnitude means that the magnitude of the vector equals to 1. Therefore its a simple case of calculating the values of sin(45) for the vertical components and cos(45) for the horizontal components. Both of these values equal to 1/sqrt(2) {one over square-root two}
Vertical is up and horizontal is across
The magnitude of the vector at 45 degrees to the horizontal will be equal to the magnitude of its horizontal and vertical components. This is because the components are obtained by using trigonometric functions of the angle, and in this case, at 45 degrees, those functions yield the same value for both the horizontal and vertical components as the magnitude of the vector.
Ask Sir JB.
To find the resultant magnitude and direction of the five forces acting at an angle, you can resolve each force into its horizontal and vertical components using trigonometry. Then, sum up all the horizontal components and vertical components separately to find the resultant horizontal and vertical components. Finally, use these components to calculate the magnitude and direction of the resultant force using trigonometry.
To combine forces acting in different directions, you can use vector addition. Break each force into its horizontal and vertical components, then sum the horizontal components together and the vertical components together to find the resultant force in each direction. Finally, combine the horizontal and vertical components to find the magnitude and direction of the resultant force.
The component method involves breaking down vectors into their horizontal and vertical components. To add vectors using this method, you add the horizontal components to find the resultant horizontal component, and then add the vertical components to find the resultant vertical component. Finally, you can use these resultant components to calculate the magnitude and direction of the resultant vector.
vectors
The two velocity components of projectile motion are the horizontal component and the vertical component. The horizontal component remains constant throughout the motion, while the vertical component changes due to the acceleration of gravity.
The horizontal and vertical parts of a vector are called components
Force can be resolved into horizontal and vertical components using vector analysis. However stress cannot be resolved into horizontal and vertical components using vector analysis since it is not a vector but a tensor of second order.
To find the resultant of the two vectors, break each vector into its horizontal and vertical components. Then add these components separately to find the total horizontal and vertical components. Finally, use these components to calculate the magnitude and direction of the resultant vector using trigonometry.
The magnitude of the initial velocity can be found using the Pythagorean theorem: square root of (horizontal velocity^2 + vertical velocity^2) = square root of (18.2^2 + 21.3^2) = square root of (330.28 + 454.69) = square root of 784.97 ≈ 28.0 m/s.
Its either reality based (vertical is up-down, horizontal is ground distance) or it's purely arbitrary.