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If the sum of the squares of the vector's components is ' 1 ',

then the vector's magnitude is ' 1 '.

Q: How the magnitude of vector is equal to 1?

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If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.

Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.

No, by definiton, a unit vector is a vector with a magnitude equal to unity.

vector equal in magnitude and opposite direction

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Related questions

It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.

If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.

No, the statement is incorrect. The sum of two vectors of equal magnitude will not equal the magnitude of either vector. The sum of two vectors of equal magnitude will result in a new vector that is larger than the original vectors due to vector addition. The magnitude of the difference between the two vectors will be smaller than the magnitude of either vector.

The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.

Distance traveled is equal to the magnitude of the displacement vector when the motion is in a straight line.

Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.

It is not possible to obtain a vector with a magnitude of 7 when adding vectors of magnitude 3 and 4. The resultant magnitude will be between 1 and 7, as the triangle inequality states that the magnitude of the sum of two vectors is less than or equal to the sum of their magnitudes.

A vector component can never be greater than the vector's magnitude. The magnitude of a vector is the length of the vector and is always greater than or equal to any of its individual components.

No, by definiton, a unit vector is a vector with a magnitude equal to unity.

If vector equation A + B = 0, it means that vector B is equal in magnitude but opposite in direction to vector A. Therefore, the magnitude of vector B is equal to the magnitude of vector A.

Any other vector with with the same magnitude and the same direction.

vector equal in magnitude and opposite direction