Can a vector have a component equal to zero and still have a nonzero magnitude?

Question

i need help please:)

Answer 1

Yes, of course. For example, v=2i+0j. The horizontal component has length 2 and the vertical zero. The magnitude of v is 2 in this case.

Answer 2

You don't need help. All you need to do is think for about 15 seconds. Puzzle it out. Use your brain. Use it or lose it.

Answer 3

Yes a vector can have nonzero magnitude if its on one of its three component is nonzero e.g. 2i+3j+0k or 2i+0j+0k Also for your information if a physical qntity is expressed as a vector, then magnitude is just the length of vector.

Hope I helped............  

Answer 4

Yes, if the x-component is 0 and y-component is nonzero then magnitude is nonzero.

Answer 5

A vector can has many components. For examples, 3-vector has 3 components and 2-vector has two components. If at least one of the component is not equal to zero, then the vector can has a nonzero magnitude. So, a vector with a component equal to zero, its magnitude is not neccesary equal to zero unless it is 1-vector. However, if a vector with all its components equal to zero, then its magnitude would be zero.