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3-1.Vectors
medium
If $\theta$ is the angle between two vectors $A$ and $B$, then match the following two columns.
colum $I$ | colum $II$ |
$(A)$ $A \cdot B =| A \times B |$ | $(p)$ $\theta=90^{\circ}$ |
$(B)$ $A \cdot B = B ^2$ | $(q)$ $\theta=0^{\circ}$ or $180^{\circ}$ |
$(C)$ $|A+B|=|A-B|$ | $(r)$ $A=B$ |
$(D)$ $|A \times B|=A B$ | $(s)$ None |
A$( A \rightarrow s , B \rightarrow q , r , C \rightarrow p , D \rightarrow p )$
B$( A \rightarrow r , B \rightarrow q , s , C \rightarrow p , D \rightarrow p )$
C$( A \rightarrow p , B \rightarrow q , r , C \rightarrow p , D \rightarrow s )$
D$( A \rightarrow q , B \rightarrow s , r , C \rightarrow p , D \rightarrow p )$
Solution
(a)
Standard 11
Physics