0
The formula for calculating the magnitude of the resultant vector when adding two vectors is: magnitude = sqrt((vector1 magnitude)^2 + (vector2 magnitude)^2 + 2 * vector1 magnitude * vector2 magnitude * cos(theta)) where theta is the angle between the two vectors.
A single vector is its own resultant. A resultant vector is usually taken to be the single vector that will have the same effect as multiple vectors. In two dimensions, a straight-forward way of finding the resultant of multiple vectors is to decompose each of the vectors into its x- and y-components. Sum the x-components and sum the y-components. Use these results and the pythagorean therom to calculate the magnitude of the resultant, R,
R √[(sum x)2+(sum y)2
The direction of the resultant can be determined by finding the angle whose tangent is (sum x)/(sum y)
If there are two vectors "x" and "y"
their resultant will be vector "z"
and
the formula for calculating magnitude of resultant vector is z= sq.rt 'x'2 + 'y'2
Add your answer:
Earn +20 pts
When are magnitudes of 2 vectors added?
The magnitudes of two vectors are added when calculating the resultant magnitude of their vector sum. This can be done using the Pythagorean theorem, where the magnitude of the resultant vector is the square root of the sum of the squares of the magnitudes of the individual vectors.
How do you find the magnitude of the resultant vector?
To find the magnitude of the resultant vector, you can use the Pythagorean theorem. Simply square the x-component, square the y-component, add them together, and then take the square root of the sum. This will give you the magnitude of the resultant vector.
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.
What is the resultant vector?
The resultant vector is the vector that represents the sum of two or more vectors. It is calculated by adding the corresponding components of the vectors together. The magnitude and direction of the resultant vector depend on the magnitudes and directions of the individual vectors.
When a rectangle is constructed in order to add velocities what represents the resultant of the velocities?
The diagonal of the rectangle represents the resultant of the velocities when added using vector addition. The magnitude and direction of this diagonal give the magnitude and direction of the resultant velocity vector.
When are magnitudes of 2 vectors added?
The magnitudes of two vectors are added when calculating the resultant magnitude of their vector sum. This can be done using the Pythagorean theorem, where the magnitude of the resultant vector is the square root of the sum of the squares of the magnitudes of the individual vectors.
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.
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 find the magnitude of the resultant vector?
To find the magnitude of the resultant vector, you can use the Pythagorean theorem. Simply square the x-component, square the y-component, add them together, and then take the square root of the sum. This will give you the magnitude of the resultant vector.
Formula to calculate magnitude of the resultant vector?
Magnitude of the resultant vector = Square root of[ (sum of x-components of all component vectors)2 plus(sum of y-components of all component vectors)2plus (sum of z-components of all component vectors)2 ]
Can the magnitude of resultant of two vectors of the same magnitude be equal of magnitude of either vector?
yes
Can the magnitude of the resultant of two vector be greater than the sum of magnitudes of indivisual vector?
No.
What the magnitude of resultant vector of two equal forces each of magnitude F is?
the resultant magnitude is 2 times the magnitude of F as the two forces are equal, Resultant R= F + F = 2F and the magnitude of 2F is 2F.
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.
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 the resultant vector?
The resultant vector is the vector that represents the sum of two or more vectors. It is calculated by adding the corresponding components of the vectors together. The magnitude and direction of the resultant vector depend on the magnitudes and directions of the individual vectors.
When a rectangle is constructed in order to add velocities what represents the resultant of the velocities?
The diagonal of the rectangle represents the resultant of the velocities when added using vector addition. The magnitude and direction of this diagonal give the magnitude and direction of the resultant velocity vector.
