Which of the following statements.is false regarding the vectors ?

The magnitude of a vector is always a scalar.

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Each component of a vector is always a scalar.

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Two vectors having different magnitudes cannot have their resultant zero.

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Vectors obey triangle law of addition.

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Solution

The correct option is B Each component of a vector is always a scalar.
The magnitude of a vector is a pure number. Each component of a vector is also a vector. The resultant of two vectors can be zero only if they have the same magnitude and opposite directions.

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Similar questions

Q. Answer the following as true or false:
(i)

\vec{a}

and

\vec{a}

are collinear.
(ii) Two collinear vectors are always equal in magnitude.
(iii) Zero vector is unique.
(iv) Two vectors having same magnitude are collinear.
(v) Two collinear vectors having the same magnitude are equal.

Read each statement below carefully and state with reasons, if it is true or false:

(a) The magnitude of a vector is always a scalar, (b) each component of a vector is always a scalar, (c) the total path length is always equal to the magnitude of the displacement vector of a particle. (d) the average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same interval of time, (e) Three vectors not lying in a plane can never add up to give a null vector.

Answer the following as true or false:
(i) a and -a are collinear.
(ii) Two collinear vectors are always equal in magnitude.
(iii) Two vectors having same magnitude are collinear.
(iv) Two collinear vectors having the same magnitude are equal.

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. Answer the following as true or false.
(i)

\to a

and

- \to a

are collinear
(ii) Two collinear vectors are always equal in magnitude.
(iii) Two vectors having same magnitude are collinear.
(iv) Two collinear vectors having the same magnitude are equal.

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Which of the following statements.is false regarding the vectors ?

The correct option is B Each component of a vector is always a scalar.The magnitude of a vector is a pure number. Each component of a vector is also a vector. The resultant of two vectors can be zero only if they have the same magnitude and opposite directions.

The correct option is B Each component of a vector is always a scalar.
The magnitude of a vector is a pure number. Each component of a vector is also a vector. The resultant of two vectors can be zero only if they have the same magnitude and opposite directions.