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How do you prove three vectors are equal to zero?
If the sum of their components in any two orthogonal directions is zero, the resultant is zero. Alternatively, show that the resultant of any two vectors has the same magnitude but opposite direction to the third.
How many minimum of vectors are required in space to get resultant zero?
Assuming you want non-zero vectors, two opposing vectors will give a resultant of zero.
Is it possible two unequal vector to give a zero resultant?
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
Does the resultant take into account the direction of the two vectors?
Yes, a resultant vector is the vector sum of the two vectors. It has it's own direction and magnitude.
What is the least number of non-zero vectors that can be added to give a resultant equal to zero?
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
When two equal and opposite vectors are added their resultant vector has zero magnitude.What is the direction of this resultant?
The direction of the resultant vector with zero magnitude is arbitrary, since it indicates that the two equal and opposite vectors cancel each other out completely.
When two equal and opposite vectors are added their resultant vector has zero magnitude what is the direction of this resultant?
The direction of the resultant vector with zero magnitude is indeterminate or undefined because the two equal and opposite vectors cancel each other out completely.
Can the resultant of two vectors be equal to zero?
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
How do you prove three vectors are equal to zero?
If the sum of their components in any two orthogonal directions is zero, the resultant is zero. Alternatively, show that the resultant of any two vectors has the same magnitude but opposite direction to the third.
What is the smallest number of vectors that can be added to give a zero resultant?
Two vectors can be added to result in a zero resultant if they are equal in magnitude and opposite in direction.
What is the direction of the resultant vector after adding two equal and opposite vectors?
The resultant vector will have a magnitude of zero because the two equal and opposite vectors cancel each other out. The direction of the resultant vector will be indeterminate or undefined.
How many minimum of vectors are required in space to get resultant zero?
Assuming you want non-zero vectors, two opposing vectors will give a resultant of zero.
Is it possible two unequal vector to give a zero resultant?
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
Does the resultant take into account the direction of the two vectors?
Yes, a resultant vector is the vector sum of the two vectors. It has it's own direction and magnitude.
What is the resultant of two vectors in the opposite direction?
When two vectors are in opposite directions, their resultant is the difference between their magnitudes, with the direction of the larger vector. This means the resultant vector points in the direction of the larger vector and its magnitude is the difference between the magnitudes of the two vectors.
If two vectors are perpendicular to each other then the resultant what?
If two vectors are perpendicular to each other, their dot product is zero. This means that the resultant of the two vectors is the magnitude of one of the vectors, as the angle between them is 90 degrees, resulting in a right triangle.
