Q: When adding two vectors at right angles is the resultant of the vectors the algebraic sum of the two vectors?

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If both vectors are of the same magnitude, and the resultant is equal to one, then all three are equal. This describes an equilateral triangle.Since the angles of a triangle must sum to 180, the three angles of an equilateral triangle are all 60 degrees.

A touch over 7. More exactly 7.0711.

yes, if they are at right angles to each other.

If two vectors with equal magnitudes 'M' have perpendicular directions, then the resultant ismidway between them ... 45 degrees from each ... and the magnitude of the resultant isM sqrt(2).84 km/hr North + 84 km/hr East = 84 sqrt(2) = 118.794 km/hr Northeast (rounded).

Divide each vector into components, that is, find components in the x, y and z direction that add up to give the vector. This requires some basic trigonometry. Then, add the the components. * * * * * In 2-d the answer is as follows: Suppose the two vectors have magnitude R and are angles A and B to the x-axis. Therefore, the horizontal components of the two vectors are RcosA and RcosB so that the resultant has horizontal component RcosA + RcosB XR = 2R*cos[(A+B)/2]*cos[(A-B)/2] The vertical components of the original two vectors are RsinA and RsinB so that the resultant has horizontal component RsinA + RsinB YR = 2R*sin[(A+B)/2]*cos[(A-B)/2] From these two equations, the magnitude of the resultant is sqrt(XR2 + YR2) = sqrt{4R2*cos2[(A-B)/2]} = 2R*cos[(A-B)/2] and the direction of the resultant is arctan(YR/XR) = arctan{[(A+B)/2]} = (A+B)/2 or equivalent

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Some sources of error in determining a resultant by adding vectors graphically include inaccuracies in measuring the lengths and angles of the vectors, mistakes in the scale or orientation of the vector diagram, and human error in drawing and aligning the vectors correctly on the graph. Additionally, errors can arise from distortion in the representation of vectors on a two-dimensional space when dealing with vectors in three dimensions.

The two main methods for determining the resultant vector of two or more vectors are graphical and algebraic methods. In the graphical method, vectors are drawn to scale with appropriate angles and then the resultant vector is measured. In the algebraic method, vector components are added or subtracted using trigonometric functions to find the magnitude and direction of the resultant vector.

Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X

When you resolve a vector, you replace it with two component vectors, usually at right angles to each other. The resultant is a single vector which has the same effect as a set of vectors. In a sense, resolution and resultant are like opposites.

A triangle...

The outcome is called the resultant no matter what angle At right angles the resultant is calculated a the hypotenuse of the triangle with each vector as sides

The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.

If both vectors are of the same magnitude, and the resultant is equal to one, then all three are equal. This describes an equilateral triangle.Since the angles of a triangle must sum to 180, the three angles of an equilateral triangle are all 60 degrees.

A touch over 7. More exactly 7.0711.

To use a force table, you first set up the apparatus with the force vectors you want to analyze. Then, adjust the angles and magnitudes of the forces by moving the pulleys and adding weights until the system is in equilibrium. Finally, measure the angles and weights to calculate the resultant force and verify the equilibrium condition.

yes, if they are at right angles to each other.

If two vectors with equal magnitudes 'M' have perpendicular directions, then the resultant ismidway between them ... 45 degrees from each ... and the magnitude of the resultant isM sqrt(2).84 km/hr North + 84 km/hr East = 84 sqrt(2) = 118.794 km/hr Northeast (rounded).