Match Column-I with Column-II. Column-I | vedclass

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Question

$(1)$ For two vectors of equal magnitude,the resultant lies along the angle bisector. If magnitudes are unequal,the resultant lies closer to the large

Vedclass · Accepted Answer

$(1-a), (2-b)$

Vedclass · Answer

$(1)$ For two vectors of equal magnitude,the resultant lies along the angle bisector. If magnitudes are unequal,the resultant lies closer to the larger vector. However,in the context of standard matching problems,the resultant of two vectors is generally associated with the direction between them. Given the options,$(1)$ matches $(a)$ if we assume equal magnitudes or general direction.$(2)$ The cross product $\overrightarrow A 	imes \overrightarrow B$ is defined as a vector perpendicular to the plane containing both $\overrightarrow A$ and $\overrightarrow B$ by the right-hand rule. Thus,$(2)$ matches $(c)$.

Column-$I$	Column-$II$
$(1)$ Resultant of two mutually perpendicular vectors	$(a)$ Along the bisector of the angle between them
$(2)$ Direction of $\overrightarrow A \times \overrightarrow B$	$(b)$ Coplanar
	$(c)$ Perpendicular to the plane containing $\overrightarrow A$ and $\overrightarrow B$

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