If a vector is multiplied by 4 its magnitude becomes. a. doubled. b.scalar. c.number. d.null vector
Answers
the magnitude will be doubled is the answer
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Answer:
Vectors **are **numbers, so it depends on what kind of number you are talking about.
If you are multiplying a vector by a *scalar *then your vector product will be in the same direction as the original vector. (*x***a = b**)
If you multiply a vector by a vector, one of two things can happen.
* If you are looking for the *scalar product (***a•b **= *x) *then the product is a scalar and has no direction. This product gets closer to |**a**||**b**| the smaller the angle between them: |**a**||**b**| cos theta. Because of its notation, this is often called the dot product.
* If you are looking for the *vector product ( ***a×b = x **), this represents the area of a parallelogram with the two vectors as sides, going in a direction perpendicular to the two vectors, using the right hand rule where if your index finger is **a **and your middle finger is **b **your thumb is **x**. This gets larger as the angle between the vectors becomes closer to a right angle: **a×b **= (|**a**||**b**| cos theta) **n**. **n **is the unit vector perpendicular to both vectors. This is often called the *cross product*