CBSE-XI-Physics
02: Physics and Mathematics
- #8Can a vector have zero component along a line and still have nonzero magnitude?Ans : Yes, a vector can have zero components along a line and still have a nonzero magnitude.
Example: Consider a two dimensional vector `` 2\vec{i}+0\vec{j}``. This vector has zero components along a line lying along the Y-axis and a nonzero component along the X-axis. The magnitude of the vector is also nonzero.
Now, magnitude of `` 2\vec{i}+0\vec{j}`` = `` \sqrt{{2}^{2}+{0}^{2}}=2``
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