Which of the following statements is true reg | vedclass

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(C) The vector product of two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is defined as $\overrightarrow{C} = \overrightarrow{A} 	imes \ove

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Vector product of two parallel vectors is a null vector.

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(C) The vector product of two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is defined as $\overrightarrow{C} = \overrightarrow{A} 	imes \overrightarrow{B} = AB \sin 	heta \hat{n}$.For two parallel vectors,the angle $	heta$ between them is $0^\circ$.Substituting this into the formula: $\overrightarrow{A} 	imes \overrightarrow{B} = AB \sin(0^\circ) \hat{n} = AB(0) \hat{n} = \vec{0}$.Thus,the vector product of two parallel vectors is a null vector.Therefore,option $(C)$ is correct.

Column $I$	Column $II$
$(A) (A+B)$	$(p)$ North-east
$(B) (A-B)$	$(q)$ Vertically upwards
$(C) (A \times B)$	$(r)$ Vertically downwards
$(D) (A \times B) \times (A \times B)$	$(s)$ None

Which of the following statements is true regarding the vector product of two vectors?

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