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A vector of components ( and minus3 and minus2) is multiplied by the scalar value of -6. What is the magnitude and direction of the resultant vector?
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Can a vector have zero magnitude if one of its components is nonzero?
A vector comprises its components, which are orthogonal. If just one of them has magnitude and direction, then the resultant vector has magnitude and direction. Example:- If A is a vector and Ax is zero and Ay is non-zero then, A=Ax+Ay A=0+Ay A=Ay
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.
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.
How do you find vector components when given the vectors are parallel and the magnitude of each vector is equal to 1?
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
What is an example when resultant force is zero but resultant torque is not zero?
A couple: 2 parallel forces equal in magnitude, but opposite in direction separated by a distance.
How do you solve for the resultant if two forces are in the same direction?
If two forces are in the same direction, then their resultant is also in the same direction, and its magnitude is the sum of the two components' magnitudes.
Can a vector have zero magnitude if one of its components is nonzero?
A vector comprises its components, which are orthogonal. If just one of them has magnitude and direction, then the resultant vector has magnitude and direction. Example:- If A is a vector and Ax is zero and Ay is non-zero then, A=Ax+Ay A=0+Ay A=Ay
When two equal and opposite vectors are added their resultant vector has zero magnitude what is the direction of this resultant?
The zero-vector has no direction.
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 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.
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 th 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.
Resultant of two like parallel forces?
The magnitude of the resultant of two like parallel forces is the sum of the magnitudes of the forces and its direction will be same as the direction of the parallel forces.
How do you solve for Equilibrant force?
Use pythagorean theorem to get the magnitude of the resultant force… The fourth force that would put this arrangement in equilibrium (the equilibrant) is equal and opposite the resultant. The components work this way too. To get the opposite direction angle, add on 180°.
How do you find vector components when given the vectors are parallel and the magnitude of each vector is equal to 1?
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
Under what circumstances can a vector have components that are equal in magnitude?
(Magnitude of the vector)2 = sum of the squares of the component magnituides Let's say the components are 'A' and 'B', and the magnitude of the vector is 'C'. Then C2 = A2 + B2 You have said that C = A, so C2 = C2 + B2 B2 = 0 B = 0 The other component is zero.
How can you find the magnitude and the length of the resultant?
A ship is traveling 155mph due south .Opposing current 35mph at 20 degrees southwest . Find resultant magnitude and direction of ship's true course
