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Earn +20 ptsQ: What is vector all about?
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If all the components of a vector are equal to 1 then that vector is a unit vector?
False.
Can a vector have a zero magnitude if all of its components are zero?
If all the components of a vector are zero, the magnitude of the vector will always be zero.
A vedtor which is perpendicular to every vector?
The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.
How do vector components compare in size to the vector from which they came?
That all depends on the angles between the vector and the components. The only things you can say for sure are: -- none of the components can be greater than the size of the vector -- the sum of the squares of the components is equal to the square of the size of the vector
How would you define the zero vector by using the idea of components?
All components of the zero vector equal to zero.
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