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Scalars and the Need for Vectors

Assertion : I...

Question

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

Reason : Null vector is a vector with zero magnitude.

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Solution

Hence assertions and Reasons are true.

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Q. Assertion: If dot product and cross product of

\to A

\to B

are zero, it implies that one of the vector

\to A

\to B

must be null vector.
Reason: Null vector is a vector with zero magnitude.

Q. Statement 1: If dot product and cross product of

\to A

\to B

are zero, it implies that one of the vector

\to A

\to B

must be a null vector.
Statement 2: Null vector is a vector with zero magnitude.

Q. Assertion: If dot product and cross product of

\to A

\to B

are zero, it implies that one of the vector

\to A

\to B

must be null vector.
Reason: Null vector is a vector with zero magnitude.

Assertion: Statement I: The dot product of one vector with another vector may be a scalar or a vector.

Reason: Statement-II: The product of two vectors is a vector quantity, then the product is called a dot product.

Q. Assertion :In circular motion, dot product of velocity vector

(\to v)

and acceleration

(\to a)

may be positive, negative or zero. Reason: Dot product of angular velocity vector and linear velocity is always zero.

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