No, Magnitude is computed using the sum of squares of the components. Since squares are never negative, if one component is non-zero the result is necessarily positive.
ANS2:Sum of the squares?! Somebody has been smoking something. If the magnitude is zero, that means that the components' sums are zero. That condition is called dynamic equilibrium. An apple on a table is experiencing a downward force from gravity and an upward force from the table. They add to zero and the apple just sits there.The downward force of gravity is -9.81 m/s^2 x the mass of the apple. The components acting on the apple are equal in magnitude but opposite in direction.
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No.
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 a vector cannot have a component greater than the magnitude of vector
No a vector may not have a component greater than its magnitude. When dealing with highschool phyics problems, the magnitude is usually the sum of two or more components and one component will offset the other, causing the magnitude to be less then its component
No.