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What should be the angle between two vectors for there resultant to have maximum magnitude?

Zero. For example, if two people pull in the same direction, they are more effective than if they pull in opposite directions. The latter (180°) is the worst-case scenario in this case.


What is the difference between magnitude and direction?

Magnitude measures size while direction measures geolocation


What is the functions of plicae circulares?

The plicae circulares slow down the food passing along the intestines. Because of their shape there is an increase in the surface area between the food and the walls on the intestines which allows more efficient absorption of nutrients from the chyme - the stuff that comes from the stomach.


What is the difference between twisting and turning?

different between twist and turn


What is the equation of the graph described below in the discussion?

Putting more details in the answer means nobody sees the question as unanswered to attempt to answer it. A sin curve varies evenly either side of the x-axis; the graph varies between -3.5 and +5.5; the mid-point of -3.5 and +5.5 is (5.5 - 3.5) ÷ 2 = 1 → it has been shifted up the y-axis by 1 unit → k = 1 As the curve has been shifted up the y-axis by 1 unit, it varies from (-3.5 -1) = -4.5 to (5.5 - 1) = +4.5 The sin curve varies between -1 and +1 → it has been stretched by 4.5 → a = 4.5 Using the points with y-coordinate of 1, the curve is negative between the first two and positive between the second two; thus half the sine curve, (ie between 0 and π radians) is between two of them. Between the first two of (-5.495, 1) and (0.785, 1) is 0.785 - -5.495 = 6.28 = 2 × 3.14 = 2π Similarly between the second two of (0.785, 1) and (7.065, 1) is 7.065 - 0.785 = 6.28 = 2 × 3.14 = 2π → the x-axis has been stretched by 2π ÷ π = 2 → b = 2 The sine curve starts increasing from zero, thus (0.785, 1) was originally at the origin (0, 0) → the curve has been shifted right by 0.785 = π/4 → h = π/4 Thus the curve has equation: y = 4.5 sin (2(x - π/4))

Related Questions

What is the effect on the resultant of increasing the angle between the two forces?

The direction will change; the magnitude of the resultant force will be less.


What is th effect on the resultant of increasing the angle between the two forces?

Increasing the angle between two forces will decrease the magnitude of the resultant force. When the angle is 180 degrees (opposite directions), the forces will cancel out, resulting in a zero resultant force. Conversely, when the angle is 0 degrees (same direction), the forces will add up, resulting in a maximum resultant force.


If a vector of magnitude 3 is added to a vector of magnitude 4 what can the magnitude of the resultant be?

7


How do you change the magnitude of the resultant vector between two if the angle between them decreases?

If the angle decreases, the magnitude of the resultant vector increases.


When two vectors are added and their magnitude is equal to the magnitude of resultan what will be angle in between them?

The angle between two vectors whose magnitudes add up to be equal to the magnitude of the resultant vector will be 120 degrees. This is known as the "120-degree rule" when adding two vectors of equal magnitude to get a resultant of equal magnitude.


If three concurrent forces are in equilibrium what is the relation between any one of the three forces and the resultant of the other two forces?

If three concurrent forces are in equilibrium, then each force is proportional to the resultant of the other two forces. This means that the magnitude and direction of each force are determined by the other two forces, ensuring that the system remains in equilibrium.


If the angle between two forces increases the magnitude of their resultant?

Yes, if the angle between two forces increases, the magnitude of their resultant will also increase. This is because the forces start to add up more effectively in the direction of the resultant as the angle decreases.


A vector of magnitude 3 cannot be added to a vector of magnitude 4 so the magnitude of the resultant is?

7


What was the magnitude of the resultant force when the angle between two concrete forces?

To determine the magnitude of the resultant force when the angle between two forces is known, you can use the law of cosines. The formula is: R = √(F1^2 + F2^2 + 2F1F2*cosθ), where R is the resultant force, F1 and F2 are the magnitudes of the individual forces, and θ is the angle between the forces. Plug in the values and calculate to find the magnitude of the resultant force.


What is the angle between two vectors if their sum is to be maximum?

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.


What should be the angle between two vectors of magnitudes 8 and 8 units so that their resultant has a magnitude of 20 units?

It is not possible. The maximum magnitude is obtained when the vectors are aligned and in this case the resultant has a magnitude which is the sum of the individual vectors. In the given example, the maximum possible magnitude for the resultant is 16 units. In general |a+b| <= |a| + |b| where a, b are vectors and |a| is the magnitude of a


What is the angle between two vectors of equal magnitude whose resultant is equal to the magnitude of either vector?

69 degrees