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3-1.Vectors
easy
A vector $\overrightarrow{ A }$ points vertically upward and $\overrightarrow{ B }$ points towards north. The vector product $\overrightarrow{ A } \times \overrightarrow{ B }$ is
Anull vector
Balong west
Calong east
Dverticaly downward
Solution
Here $z$-axis is vertically upward means normal to plane of paper as shown in figure.
Thus, $\vec{A}=A \hat{k}$ and $\vec{B}=B \hat{j}$
So, $\overrightarrow{ A } \times \overrightarrow{ B }= A \hat{ k } \times \overrightarrow{ Bj }=- AB \hat{ i }$
Thus, it is along negative $x$-axis means along west.
Thus, $\vec{A}=A \hat{k}$ and $\vec{B}=B \hat{j}$
So, $\overrightarrow{ A } \times \overrightarrow{ B }= A \hat{ k } \times \overrightarrow{ Bj }=- AB \hat{ i }$
Thus, it is along negative $x$-axis means along west.
Standard 11
Physics
