Aspire Faculty ID #16704 · Topic: CUET 2023 · Just now
CUET 2023

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A:
If dot product and cross product of vectors $\vec A$ and $\vec B$ are zero, it implies that one of the vectors $\vec A$ or $\vec B$ must be a null vector.

Reason R:
Null vector is a vector with zero magnitude.

Choose the correct answer:

Solution

$\vec A\times\vec B=0$ ⇒ vectors are parallel

A non-zero vector cannot be both parallel and perpendicular
⇒ one vector must be zero

✔ Assertion A is true
✔ Reason R is true
✔ R explains A

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