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3-1.Vectors
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If $a + b + c =0$ then $a \times b$ is
A$b \times c$
B$c \times b$
C$a \times c$
DNone of these
Solution
(a)
$a + b + c =0$
$\therefore a + c =- b$
$\text { or } ( a + c ) \times b =- b \times b =0$
$\text { or } ( a \times b )+( c \times b ) =0$
$\text { or } a \times b = b \times c$
$a + b + c =0$
$\therefore a + c =- b$
$\text { or } ( a + c ) \times b =- b \times b =0$
$\text { or } ( a \times b )+( c \times b ) =0$
$\text { or } a \times b = b \times c$
Standard 11
Physics
Similar Questions
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 |
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