Choose whether each of the following statements is true or false. It is possible

Question

Choose whether each of the following statements is true or false.
It is possible for a component of a vector to be zero if the vector itself is not zero. A: True B: False
A vector's component can never be larger than the magnitude of the vector. A: True B: False
The magnitude of the sum of two vectors is always greater than the magnitude of either vector. A: True B: False
It is possible for a vector to be zero, while a component of the vector is not zero. A: True B: False
Choose whether each of the following statements is true or false.
It is possible for a component of a vector to be zero if the vector itself is not zero. A: True B: False
A vector's component can never be larger than the magnitude of the vector. A: True B: False
The magnitude of the sum of two vectors is always greater than the magnitude of either vector. A: True B: False
It is possible for a vector to be zero, while a component of the vector is not zero. A: True B: False
Choose whether each of the following statements is true or false.
It is possible for a component of a vector to be zero if the vector itself is not zero. A: True B: False
A vector's component can never be larger than the magnitude of the vector. A: True B: False
The magnitude of the sum of two vectors is always greater than the magnitude of either vector. A: True B: False
It is possible for a vector to be zero, while a component of the vector is not zero. A: True B: False

Explanation / Answer

1. True

it possible to have a zero component which will be at 90 deg from vector.

2. component = Magnitude of vector cos(theta)

and cos(theta) =< 1

so component will be shorter or equal to the length of vector.

True

3. if vector are opposite in direction then magnitude of resultant will less than both of the vector's magnitude.

False

4. if component of vector is nonzero that means magnitude of vector can not be zero.

False

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