Assertion (A): The scalar product of two perpendicular vectors is always zero. Reason (R): The scalar product of two vectors A and B is given by A B cos θ . A) Both Assertion and Reason are true and t

Question

Assertion (A): The scalar product of two perpendicular vectors is always zero.

Reason (R): The scalar product of two vectors $A$ and $B$ is given by $A B cos θ$ .

A) Both Assertion and Reason are true and the Reason is the correct explanation of the Assertion. B) Both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion. C) Assertion is true but the Reason is false. D) Assertion is false but the Reason is true.

TestHub · Accepted Answer

Assertion (A) is true. If two vectors are perpendicular, the angle $θ$ between them is $9 0^{\circ}$ .

Reason (R) is true, as it defines the scalar product (dot product) of two vectors. The Reason correctly explains the Assertion because for perpendicular vectors, $θ = 9 0^{\circ}$ , and $cos 9 0^{\circ} = 0$ . Therefore, $A \cdot B = A B cos 9 0^{\circ} = 0$ .

Physics - Vectors Question with Solution | TestHub

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