A vector \vec{F}_1 is along the positive X-axis. If its vec…

Physics Vectors Multiplication of Vectors Single Correct MCQ

Published on: September 12, 2026

A vector \vec{F}_1 is along the positive X-axis. If its vector product with another vector \vec{F}_2 is zero then \vec{F}_2 could be

4\hat{j}

-(\hat{i} + \hat{j})

\(\left(\hat{\imath} + \hat{k}\right)\)

\(\left(-4\hat{i}\right)\)

Text Solution

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The correct answer is:

Given: \vec{F}_1 is along the positive X -axis \(\Rightarrow \vec{F}_1 = a \hat{i}\) .

\(\vec{F}_1 \times \vec{F}_2 = 0\) .

For the cross product to be zero, the two vectors must be parallel (or anti-parallel).
Check the options:

\(4\hat{j} \to\) along Y -axis

\(\left(-\hat{i} + \hat{j}\right) \to\) not parallel to X -axis

\(\left(\hat{i} + \hat{k}\right) \to\) not parallel to X -axis

\((-4\hat{i}) \to\) along negative X -axis, anti-parallel to \vec{F}_1

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