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Question: A vector \(\overset{\rightarrow}{A}\) points vertically upward and \(\overset{\rightarrow}{B}\)point...

A vector A→\overset{\rightarrow}{A} points vertically upward and B→\overset{\rightarrow}{B}points towards north. The vector product A→×B→\overset{\rightarrow}{A} \times \overset{\rightarrow}{B} is

A

Zero

B

Along west

C

Along east

D

Vertically downward

Answer

Along west

Explanation

Solution

Direction of vector A is along z-axis ∴A→=ak^\overrightarrow{A} = a\widehat{k}

Direction of vector B is towards north ∴ B→=bj^\overrightarrow{B} = b\widehat{j}

Now A→×B→=ak^×bj^=ab(−j^)\overrightarrow{A} \times \overrightarrow{B} = a\widehat{k} \times b\widehat{j} = ab( - \widehat{j})

∴ The direction is A→×B→\overrightarrow{A} \times \overrightarrow{B} is along west.