270°

The vertical component describes the upward influence of the force upon Fido and the horizontal component describes the rightward influence of the force upon Fido.

The horizontal forces are equal in size and opposite in direction. They are balanced, so the horizontal resultant force is zero. This means that there is no horizontal acceleration just a horizontal constant speed. The vertical forces are equal in size and opposite in direction.

Originally Answered: Does the horizontal component of a vector always use the cos function, and the vertical the sin? Not at all. It entirely depends on how you choose to measure the angle. Side adjacent to the angle always represents the cosine component.

The horizontal velocity component (vx) describes the influence of the velocity in displacing the projectile horizontally. The vertical velocity component (vy) describes the influence of the velocity in displacing the projectile vertically.

The tension force has a horizontal and an upward component or effect on the sign. The horizontal component (Fx) can be calculated as Ftens• cosine( ) where is the angle which the force makes with the horizontal.

They are usually set up to solve for the x-component using the cosine function and the y-component using the sine, as was presented originally with angle ‘A’.

Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse . No matter the size of the triangle, the values of sin(θ) and cos(θ) are the same for a given θ, as illustrated below.

Construct a rough sketch (no scale needed) of the vector in the indicated direction. Label its magnitude and the angle which it makes with the horizontal. Draw a rectangle about the vector such that the vector is the diagonal of the rectangle. Beginning at the tail of the vector, sketch vertical and horizontal lines.

Key Points The right hand rule states that, to find the direction of the magnetic force on a positive moving charge, the thumb of the right hand point in the direction of v, the fingers in the direction of B, and the force (F) is directed perpendicular to the right hand palm.

A vector is essentially a line segment in a specific position, with both length and direction, designated by an arrow on its end. Two vectors with the same length and direction are the same vector. They may have origins at different points, but they are still equal.

The sum of two vectors is known as the resultant, and you can use trigonometry to help you find it. If the vectors form a right triangle, you can use the Pythagorean Theorem and the trigonometric functions sine, cosine, and tangent to find the magnitude and direction of the resultant.

The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If two or more velocity vectors are added, then the result is a resultant velocity. If two or more force vectors are added, then the result is a resultant force.

In two dimensions sin and cos are used, in three dimensions direction cosines are useful. See any text on Vector Analysis, I like those by Harry Davis.

Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tanθ=(ba)⇒θ=tan−1(ba), as illustrated in Figure 8.8.