Determine a vector which when added to the resultant of A→ $$=$$ $$2i^$$ $$+5j^$$−$$k^$$ and B→ $$=$$ $$3i^$$ −$$4j^$$−$$k^$$ gives unit vector along negative y direction.

Correct option is 1−5i^ −2j^+2k^

Questions

Determine a vector which when added to the resultant of $\vec{A} = 2 \hat{i} + 5 \hat{j} - \hat{k}$ and $\vec{B} = 3 \hat{i} - 4 \hat{j} - \hat{k}$ gives unit vector along negative y direction.

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−5i^ −2j^+2k^

−5i^ −j^+k^

−5i^ −j^+2k^

5i^ −j^+2k^

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detailed solution

Correct option is A

Let C→ is required vector, then C→+A→+B→ = −j^⇒C→+2i^+5j^ −k^+3i^−4j^−k^= −j^⇒ C→ = −5i^−2j^+2k^

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Determine a vector which when added to the resultant of A→ = 2i^ +5j^−k^ and B→ = 3i^ −4j^−k^ gives unit vector along negative y direction.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Determine a vector which when added to the resultant of $\vec{A} = 2 \hat{i} + 5 \hat{j} - \hat{k}$ and $\vec{B} = 3 \hat{i} - 4 \hat{j} - \hat{k}$ gives unit vector along negative y direction.