They should be arranged so that they point in a direction that is 120 degrees away from the other two so that they are all 120 degrees from each other.
In order for two vectors to add up to zero:-- their directions must be exactly opposite-- their magnitudes must be exactly equal
The maximum value that the combination of two vectors can have is sum of their magnitudes which in this case is 8.9. This maximum value is less than the needed 10, therefore no angle between them will produce the necessary resultant.
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
Only if the magnitude of all three vectors equals 0.Suppose three vectors (xi), (xj), (xz) are added. If the above statement is true then adding these three vectors should give a magnitude of x(x2 + x2 + x2)1/2 = xSquaring both sidesx2 + x2 + x2 = x22x2=0The above expression is only solvable for x = 0Hence the answer to the above equation is no, unless both vectors are the zero vector.
that's what she said
No, it is not possible to combine two vectors of different magnitudes to give a zero resultant. However, it is possible to combine three or more vectors of different magnitudes and directions to give a zero resultant if they form a closed polygon or if they are in equilibrium.
In order for two vectors to add up to zero:-- their directions must be exactly opposite-- their magnitudes must be exactly equal
The maximum value that the combination of two vectors can have is sum of their magnitudes which in this case is 8.9. This maximum value is less than the needed 10, therefore no angle between them will produce the necessary resultant.
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
With equal angles between them - which in this case results in 360° / 3 = 120° separation between the angles.
Only if the magnitude of all three vectors equals 0.Suppose three vectors (xi), (xj), (xz) are added. If the above statement is true then adding these three vectors should give a magnitude of x(x2 + x2 + x2)1/2 = xSquaring both sidesx2 + x2 + x2 = x22x2=0The above expression is only solvable for x = 0Hence the answer to the above equation is no, unless both vectors are the zero vector.
Marriages should be arranged if the two people involved want them to be.
To get a null vector, you need to add at least two equal vectors together. Adding any number of equal vectors will always result in a vector that is parallel to the original vector, but to get a null vector the magnitudes of two equal vectors must cancel each other out.
A system should be in thermal equilibrium when it has a homogeneous temperature throughout, mechanical equilibrium when there is no net force acting on it, and chemical equilibrium when there are no gradients in chemical potential.
No there should not be arranged marriages. People should have choices in whom they want to spend the rest of their lives with.
that's what she said
The angle between two vectors a and b can be found using the dot product formula: a · b = |a| |b| cos(theta), where theta is the angle between the two vectors. Rearranging the formula, we can solve for theta: theta = arccos((a · b) / (|a| |b|)).