A vector perpendicular to \left (4\hat{i}-3\hat{j} \right ) may be:

  • Option 1)

    \left (4\hat{i}+3\hat{j} \right )

  • Option 2)

    7 \hat{k}

  • Option 3)

    6\hat{i}

  • Option 4)

    \left (3\hat{i}-4\hat{j} \right )

 

Answers (1)

As learnt in

Vector addition -

When two vectors are in same direction then upon addition the direction of resultant vector is same as any of the two vectors.

- wherein

Vector \vec{A} has magnitude 4 & vector \vec{B} has magnitude  2 . Find there resultant (addition) ?

\vec{A}+\vec{B}= 4+2=6

 

 

 

4 \hat{i} - 3\hat{j} = 16\hat{i} - 9\hat{j} = 7\hat{k} 


Option 1)

\left (4\hat{i}+3\hat{j} \right )

This answer is incorrect

Option 2)

7 \hat{k}

This answer is correct

Option 3)

6\hat{i}

This answer is incorrect

Option 4)

\left (3\hat{i}-4\hat{j} \right )

This answer is incorrect

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