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3-1.Vectors
easy
A vector $\vec{A}$ points towards North and vector $\vec{B}$ points upwards then $\vec{A} \times \vec{B}$ points towards ...........
AEast
BWest
CNorth
DSouth
Solution
(a)
Here $z$-axis is vertically upward means normal to plane of paper as shown in figure.
Thus, $\overrightarrow{ A }= A \hat{ k }$ and $\overrightarrow{ B }= B \hat{ j }$
So, $\overrightarrow{ A } \times \overrightarrow{ B }= A \hat{ k } \times B \hat{ j }=- AB \hat{ i }$
Thus, it is along negative $x$-axis means along west.
Here $z$-axis is vertically upward means normal to plane of paper as shown in figure.
Thus, $\overrightarrow{ A }= A \hat{ k }$ and $\overrightarrow{ B }= B \hat{ j }$
So, $\overrightarrow{ A } \times \overrightarrow{ B }= A \hat{ k } \times B \hat{ j }=- AB \hat{ i }$
Thus, it is along negative $x$-axis means along west.
Standard 11
Physics
Similar Questions
Vector $A$ is pointing eastwards and vector $B$ northwards. Then, match the following two columns.
| Colum $I$ | Colum $II$ |
| $(A)$ $(A+B)$ | $(p)$ 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 |
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