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For which angle between two equal vector A and B will the magnitude of the sum of two vectors be equal to the magnitude of each vector in degrees?

Posted on August 30, 2022 by Author

For which angle between two equal vector A and B will the magnitude of the sum of two vectors be equal to the magnitude of each vector in degrees?

Complete step-by-step answer: →A and →B have equal magnitude so |→A|=|→B|. The magnitude of resultant of →A and →B is equal to the magnitude of either of them i.e. |→A+→B|=|→A|=|→B|. Where θ= angle between →A and →B. So the required angle between →A and →B is 2π3 or 120∘.

What is the angle between two vectors of equal magnitude such that their resultant is one third?

The answer is theta=cos inverse -17/18.

For what angle between the two vectors of equal magnitude the resultant of them has the magnitude same as either?

120∘
Two vectors (inclined at any angle) and their sum vector from a triangle. Thus, the vector →A and →B of same magnitudes have the resultant Vectors →R of the same magnitude. In this case angle between →A and →B is 120∘.

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When two vectors A and B of magnitude A and B are added the magnitude of resultant vector is always?

equal to (a+b)

What is the angle between vector a vector B and vector A into vector B?

two vectors A and B. lies in the same plane where A and B lie (since they are non-parallel so they define a plane and cross product between them is not zero.) So,the angle between (A+B) and (A×B) is 90°.

At what angle is the resultant of two equal vectors equal to either vector?

Originally Answered: Can the magnitude of resultant of two vector of the same magnitudebe equal to the magnitude of either of the vector? Yes if the angle between the vectors is 120 degrees. In this situation, the two vectors and their sum (resultant) will form an equilateral triangle.

What is the angle between 2a and 4a?

It means they have different magnitude. But, they are along the direction of vector . Hence, both the vectors are collinear vectors . So, the angle between them is zero.

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What should be the angle between two vectors for their resultant to be maximum?

for the resultant to be maximum, both the vectors must be parallel. hence the angle between them must be 0 degrees.

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