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Question: A vector \({\overrightarrow{P}}_{1}\) is along the positive *x*-axis. If its vector product with ano...

A vector P1{\overrightarrow{P}}_{1} is along the positive x-axis. If its vector product with another vector P2{\overrightarrow{P}}_{2} is zero, then P2{\overrightarrow{P}}_{2} could be–

A

4j^4\widehat{j}

B

4i^- 4\widehat{i}

C

(j^+k^)(\widehat{j} + \widehat{k})

D

(i^+j^)- (\widehat{i} + \widehat{j})

Answer

4i^- 4\widehat{i}

Explanation

Solution

A×B\overset{\rightarrow}{A} \times \overset{\rightarrow}{B} = AB sin q = 0

q = 00 or 1800

so P2{\overrightarrow{P}}_{2} = – 4i^\widehat{i}