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Question
Can a vector have zero component along a line and still have nonzero magnitude?
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Solution
Yes, a vector can have zero components along a line and still have a nonzero magnitude.
Example: Consider a two dimensional vector \[2\hat { i } + 0 \hat {j}\]. 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 \[2\hat { i} + 0 \hat {j}\] = \[\sqrt{2^2 + 0^2} = 2\]
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