Question

Choose the correct statement.
1) scalar + vector=scalar/vector
vector
2)
scalar
vector
3) scalar/vector=scalar (or) vector
4) vector - vector= vector.​

Answer 1

Answer:

scalar/vector=scalarkor vector

Answer 2

Answer:

The correct statement is vector - vector = vector.​

Therefore, the option (4) is correct.

Explanation:

• Scalar quantity has only magnitude. It is one dimensional. One scalar quantity can divide with other scalar quantity.

• Vector quantity has magnitude as well as direction. It is multi-dimensional.

• Because of different dimensions, addition of a vector quantity and a scalar quantity is not possible. Therefore,  scalar + vector scalar/vector is meaningless.
• We cannot divide two vector quantities. Therefore, vector/vector= scalar is unjustified.
• We cannot divide scalar quantity by a vector quantity. Therefore, scalar/vector = scalar (or) vector is meaningless.
• We can add or subtract  the two vector quantities.

         Vector + Vector = Vector

         Vector - vector = vector

• We can multiple the two vector quantities. Multiplication of two vectors could be dot product or cross product.

       The dot product of two vectors will be:

        (Vector).(Vector) = Scalar

       The cross product of two vectors will give a vector quantity:

        Vector × Vector = Vector

Therefore, the subtraction of two vectors will be a vector quantity is a correct statement.