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Question: A vector \(\overset{\rightarrow}{F_{1}}\) is along the positive x-axis. If its vector product with a...

A vector F1\overset{\rightarrow}{F_{1}} is along the positive x-axis. If its vector product with another vector F2\overset{\rightarrow}{F_{2}} is zero, then F2\overset{\rightarrow}{F_{2}} could be –

A

4i4\overset{\rightarrow}{i}

B

– (i\overset{\rightarrow}{i} + j\overset{\rightarrow}{j})

C

(j\overset{\rightarrow}{j} + k\overset{\rightarrow}{k})

D

– (4j\overset{\rightarrow}{j})

Answer

4i4\overset{\rightarrow}{i}

Explanation

Solution

F1\overset{\rightarrow}{F_{1}} = F1i^\widehat{i}

F1\overset{\rightarrow}{F_{1}} × F2\overset{\rightarrow}{F_{2}} = 0 Ž F1i^\widehat{i} × (4i^\widehat{i}) = 0