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3-1.Vectors
easy
સદિશ $\vec{A}$ ઉત્તર દિશા તરફ છે અને સદિશ $\vec{B}$ ઊર્ધ્વ દિશા તરફ નિર્દેશિત છે . તો $\vec{A} \times \vec{B}$ કઈ દિશા તરફ નિર્દેશિત છે ?
Aપૂર્વ
Bપશ્ચિમ
Cઉત્તર
Dદક્ષિણ
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
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