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What should be the angle between two vectors A and B for their resultant r to be a maximum and B minimum?

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What should be the angle between two vectors A and B for their resultant r to be a maximum and B minimum?

The maximum value is A+ B. It occurs when the two vectors are parallel to each other. The angle should be 180 degrees for the resultant R to be minimum. The angle should be 180 degrees for the resultant R to be minimum.

At what angle between 2 vectors will the magnitude of the resultant of the 2 vectors be minimum?

For the magnitude of the resultant of two forces to be minimum, the angle between the two vectors that represent the forces should be 180 degrees. In other words the forces should be in the opposite direction.

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What should be the angle between two vectors of equal magnitude so that their vector sum is equal to one of them only *?

120°
θ be the angle between both the vectors. Both the vectors have the same magnitude. Let the resultant have magnitude equal to vector A. Hence, the angle between the two vectors is 120°.

What should be the theta between vectors A and B?

The resultant of two velocity vectors →A and →B is perpendicular to →A. Magnitude of Resultant →R is equal to half magnitude of →B. The angle between two vectors →A and →B is θ. The resultant of these vectors →R makes an angle of θ/2 with A.

What is the your code to calculate the angle between two vectors?

According to page 5 of this PDF, sum (a*b) is the R command to find the dot product of vectors a and b, and sqrt (sum (a * a)) is the R command to find the norm of vector a, and acos (x) is the R command for the arc-cosine. It follows that the R code to calculate the angle between the two vectors is

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What is the resultant R of two vectors A and B?

The resultant R of two vectors A and B lies between|A – B| ≤ R ≤ | A + B|.The minimum value is A – B. And it occurs when the two vectors are anti-parallel to each other ie the angle between them is 180°. The maximum value is A+ B. It occurs when the two vectors are parallel to each other.

What is the maximum value of a+B for a vector?

And it occurs when the two vectors are anti-parallel to each other ie the angle between them is 180°. The maximum value is A+ B. It occurs when the two vectors are parallel to each other. The angle should be 180 degrees for the resultant R to be minimum.

How do you find the norm of a vector in R?

Note: if you have x and y in matrix form, use as.vector (x) and as.vector (y): According to page 5 of this PDF, sum (a*b) is the R command to find the dot product of vectors a and b, and sqrt (sum (a * a)) is the R command to find the norm of vector a, and acos (x) is the R command for the arc-cosine.

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