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Oh, isn't that just lovely? When two vectors are perpendicular to each other, it means they form a right angle. The resultant of these vectors will be the sum of the two vectors, creating a new vector that represents their combined effect. Just like when we blend different colors on our palette to create a beautiful painting, these vectors come together to create something special.
What else can I help you with?
Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?
The sum and difference of two perpendicular vectors are the same in length, but are not perpendicular unless the vectors are the same size. If they are the same size they are perpendicular, other wise they are not perpendicular.
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.
Can three vectors not lying in plane give zero resultant?
Yes, three vectors that do not lie in the same plane can give a zero resultant if they form a closed triangle. This can happen when the vectors cancel each other out due to their directions and magnitudes.
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.
What is the difference between resultant and equilibrant vector?
A resultant vector is the single vector that represents the combined effect of multiple vectors. It is obtained by adding together all the individual vectors. An equilibrant vector is a single vector that, when added to the other vectors in the system, produces a net result of zero, effectively balancing out the other vectors.
Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?
The sum and difference of two perpendicular vectors are the same in length, but are not perpendicular unless the vectors are the same size. If they are the same size they are perpendicular, other wise they are not perpendicular.
What is the angle needed for the smallest resultant of two vectors?
The smallest resultant of two vectors is the sum of two equal vectors which make an angle of 180 degrees among each other.
How great is the resultant of two equal-magnitude vectors at right angles to each other?
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
How is a resolution of a vector different from the resultant of vectors?
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.
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.
What is the condition when two vectors are addition and subtraction are same magnitude?
The condition is the two vectors are perpendicular to each other.
What is my result if i calculate the magnitude of the resultant of a pair of 84 km h velocity vectors that 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).
Can it be said that when a pair of vectors are at right angles to each other the resultant is greater than either of the vectors separately?
Yes, when two vectors are at right angles to each other, their resultant vector is greater than either of the individual vectors. This is due to the Pythagorean theorem, which states that the magnitude of the resultant vector is given by the square root of the sum of the squares of the magnitudes of the two vectors. Thus, if the vectors have magnitudes ( A ) and ( B ), the resultant ( R ) is ( R = \sqrt{A^2 + B^2} ), which is always greater than the larger of ( A ) or ( B ) unless one of them is zero.
Can three vectors of equal magnitude be combined to give a zero resultant?
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
Can three vectors not lying in plane give zero resultant?
Yes, three vectors that do not lie in the same plane can give a zero resultant if they form a closed triangle. This can happen when the vectors cancel each other out due to their directions and magnitudes.
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.
What is the difference between resultant and equilibrant vector?
A resultant vector is the single vector that represents the combined effect of multiple vectors. It is obtained by adding together all the individual vectors. An equilibrant vector is a single vector that, when added to the other vectors in the system, produces a net result of zero, effectively balancing out the other vectors.
