Assertion :Statement-I : Adding a scalar to a vector of the same dimensions is a meaningful algebraic operation.
Reason: Statement-II : The displacement can be added with distance.

Both Statement-I and Statement-II are false.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Statement-I is true, Statement-II is false.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for Statement-I.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A Both Statement-I and Statement-II are false.
A vector has both magnitude and direction whereas scalar has only magnitude.Hence, adding a scalar to a vector is meaningless even if they have the same dimensions.Since Displacement is a vector and distance is a scalar, they cannot be added.
Hence, Option A is correct.

Suggest Corrections

Similar questions

Statement - I: $C l^{-} a n d C a^{2 +}$ are isoelectronic species.
Statement - II: Isoelectronic species should have same charges.

Statement - I: $C d$ is a transition element.
Statement - II: $C d$ and $C d^{2 +}$ both have completely filled $d -$ orbitals in their ground state.

(p \land \sim q) \land (\sim p \land q)

(p \to q) \leftrightarrow (\sim q \to\sim p)

(p \land \sim q) \land (\sim p \land q)

(p \to q) \leftrightarrow (\sim q \to\sim p)

Join BYJU'S Learning Program