Question

Why we sometime take length as a vector quantity while it is a scalar ( as we take length as a vector quantity in F = I (L×B)
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Answer 1

Answer:

A vector quantity is any quantity that has magnitude and direction, such as displacement or velocity. ... The length of the vector is its magnitude, which is a positive scalar. On a plane, the direction of a vector is given by the angle the vector makes with a reference direction, often an angle with the horizontal.

Explanation:

Answer 2

Explanation:

When any quantity is dependent on two or independent parameters, it can be thought as vector. ν=(1,2,2), we know it's magnitude is 3. Instead of just saying v is 3 units, we represent it in its component form, Because scaling in each component matters. Sometimes these components bases are just directions, but to vectors other than length, it could be anything. In Physics, length as a scalar has very little use. Not just length, it could be any physical quantity. And almost all of the time , the quantities are vectors.