Assertion: If dot product and cross product of vecP and vecQ are zero, it implies that one of the vector vecP and vecQ must be null vector. Reason: A null vector is a vector of zero magnitude.

Question

Assertion: If dot product and cross product of vecP and vecQ are zero, it implies that one of the vector vecP and vecQ must be null vector. Reason: A null vector is a vector of zero magnitude. (A) If both assertion and reason are true and reason is the correct explanation of assertion (B) If both assertion and reason are true but reason is not the correct explanation of assertion (C) If assertion is true but reason is false (D) If both assertion and reason are false

Tardigrade Admin · Accepted Answer

As per question, | vecA . vecB|=| vecA× vecB|=0 This is possible if either A = 0 or B = 0. Magnitude of a null vector is zero.

Q. Assertion : If dot product and cross product of $P$ and $Q$ are zero, it implies that one of the vector $P$ and $Q$ must be null vector.
Reason : A null vector is a vector of zero magnitude.

If both assertion and reason are true and reason is the correct explanation of assertion

If both assertion and reason are true but reason is not the correct explanation of assertion

If assertion is true but reason is false

If both assertion and reason are false

As per question, $∣ ∣ A . B ∣ ∣ = ∣ ∣ A \times B ∣ ∣ = 0$
This is possible if either A = 0 or B = 0.
Magnitude of a null vector is zero.

Q. Assertion : If dot product and cross product of P and Q​ are zero, it implies that one of the vector P and Q​ must be null vector. Reason : A null vector is a vector of zero magnitude.