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