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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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 $\overrightarrow B$

Similar Questions

The resultant of two vectors $A$ and $B$ is perpendicular to the vector $A$ and its magnitude is equal to half the magnitude of vector $B$. The angle between $A$ and $B$ is ....... $^o$

$A$ man travels $30 \ m$ along the direction of $3 \hat{i} + 4 \hat{j}$ and then moves '$d$' meters perpendicular to the initial direction such that his total displacement is along the $x$-axis. What is the value of '$d$' in meters?

The resultant of two vectors $\overrightarrow{P}$ and $\overrightarrow{Q}$ is $\overrightarrow{R}$. If $\overrightarrow{Q}$ is doubled,the new resultant is perpendicular to $\overrightarrow{P}$. Then $R$ equals

If $\overrightarrow{A}=3 \hat{\imath}-2 \hat{\jmath}+\hat{k}$,$\overrightarrow{B}=\hat{\imath}-3 \hat{\jmath}+5 \hat{k}$ and $\overrightarrow{C}=2 \hat{\imath}+\hat{\jmath}-4 \hat{k}$ form a right-angled triangle,then which of the following is satisfied?

$100$ coplanar forces,each equal to $10 \ N$,act on a body. Each force makes an angle of $\pi/50$ radians with the preceding force. What is the resultant of the forces in $N$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module