Two vectors in space are equal only if they have equal component in

Q.

Use the following information to answer the next question.

Three statements about scalars and vectors:

I. Vectors having different units cannot be multiplied with each other.

II. Two vectors are considered to be equal if they are of equal magnitude and have the same direction.

III. The multiplication of a scalar with a vector can give a scalar quantity.

Among the given statements,

Q. Two vectors are said to be equal only if they have same magnitude and :

Q.

Any vector in an arbitrary direction can always be replaced by two (or three)

Q. Which of the following is/are true?
1) Equal vectors have same direction but not necessarily the same magnitude.
2) Equal vectors have same magnitude and same direction.
3) Equal vectors cannot start from different points.