Question

Assertion: A null vector is a vector whose magnitude is zero and direction is arbitrary

Reason: A null vector does not exist.

• A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
• B. If both Assertion and Reason are true and the Reason is not the correct explanation of the Assertion.
• C. If Assertion is true but Reason is false.
• D. If the Assertion and Reason both are false.
• E. If Assertion is false but Reason is true.

Answer 1

The correct option is C

If Assertion is true but Reason is false.

Explanation for the correct option:

The assertion is a null vector is a vector whose magnitude is zero and direction is arbitrary.

In vector algebra,

When we add two vectors which has equal magnitude but different directions, the resultant vector is a null vector.

Thus from the above statement, the assertion is correct but the reason is incorrect.

Hence, option (C) Assertion is true but Reason is false is the correct answer.