Vector A points vertically upward and B point towards north- The vector product A-B is

Direction of vector A is along z axis , A = ak̂ Direction of vector B is towards north , B = bĵ Now A×B = ak̂× bĵ = ab ( î) Hence, the direction of A× nbsp;B ...

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Standard XIII

Physics

Multiplication with Vectors

Vector A poin...

Question

Vector $\to A$ points vertically upward and $\to B$ point towards north. The vector product $\to A \times \to B$ is

Zero

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Along west

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Along east

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Vertically downward

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Solution

The correct option is B Along west
Direction of vector $\to A$ is along z-axis , $\to A = a^k$
Direction of vector $\to B$ is towards north , $\to B = b^j$
Now $\to A \times \to B = a^k \times b^j = a b (-^i)$
Hence, the direction of $\to A \times \to B$ is along west.

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Vector →A points vertically upward and →B point towards north. The vector product →A×→B is

The correct option is B Along westDirection of vector →A is along z-axis , →A=a^k Direction of vector →B is towards north , →B=b^j Now →A×→B=a^k×b^j=ab(−^i) Hence, the direction of →A×→B is along west.

Vector $\to A$ points vertically upward and $\to B$ point towards north. The vector product $\to A \times \to B$ is

The correct option is B Along west
Direction of vector $\to A$ is along z-axis , $\to A = a^k$
Direction of vector $\to B$ is towards north , $\to B = b^j$
Now $\to A \times \to B = a^k \times b^j = a b (-^i)$
Hence, the direction of $\to A \times \to B$ is along west.