The vector that must be added to the vector $$i^$$ −$$3j^+2k^$$ and $$3i^$$ $$+6j^$$−$$7k^$$ so that the resultant vector is a unit vector along the $$y-axis$$ is

Correct option is 2−4i^ −2j^+5k^

Questions

The vector that must be added to the vector $\hat{i} - 3 \hat{j} + 2 \hat{k}$ and $3 \hat{i} + 6 \hat{j} - 7 \hat{k}$ so that the resultant vector is a unit vector along the y-axis is

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4i^ +2j^+5k^

−4i^ −2j^+5k^

3i^ +4j^+5k^

Null vector

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detailed solution

Correct option is B

Unit vector along y axis = j^. So the required vector,= j^−[(i^−3j^+2k^)+3i^+6j^−7k^] = −4i^−2j^+5k^

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The vector that must be added to the vector i^ −3j^+2k^ and 3i^ +6j^−7k^ so that the resultant vector is a unit vector along the y-axis is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

The vector that must be added to the vector $\hat{i} - 3 \hat{j} + 2 \hat{k}$ and $3 \hat{i} + 6 \hat{j} - 7 \hat{k}$ so that the resultant vector is a unit vector along the y-axis is