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Find the unit vector perpendicular to 3h...

Find the unit vector perpendicular to `3hat(i) + hat(j) + 2hat(k)` and `2hat(i) - 2hat(j) + 4hat(k)`.

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The correct Answer is:
`(hat(i))/(sqrt(3))- (hat(j))/(sqrt(3)) - (hat(k))/(sqrt(3))`
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ARIHANT PUBLICATION-VECTOR ALGEBRA -Chapter Practice (Very Short Answer Type Questions)
  1. Find vec(a).vec(b) if vec(a) = -hat(i) + hat(j) - 2hat(k) and vec(b) =...

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  2. For what value of lambda, the vectors hat(i) + 2lambda hat(j) + hat(k)...

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  3. If |vec(a)| = sqrt(3), |vec(b)| = 2 and the angle between vec(a) and v...

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  4. Find lambda, when projection of vec(a) = lambda hat(i) + hat(j) + 4hat...

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  5. Find the projection of vec(b) + vec(c) on vec(a), where vec(a) = 2hat(...

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  6. Find the projection of the vector vec(a) = 2hat(i) + 3hat(j) + 2hat(k)...

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  7. If vec(a) = hat(i) + 2hat(j) - hat(k) and vec(b) = 3hat(j) - 5hat(k), ...

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  8. Write the value of (hat(k) xx hat(j)).hat(i) + hat(j).hat(k).

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  9. If vec(a).vec(a) = 0 and vec(a).vec(b) = 0, then what can be concluded...

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  10. L and M are two points with position vectors 2vec(a) - vec(b) and vec(...

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  11. Find |vec(a) - vec(b)|, if two vectors vec(a) and vec(b) are such that...

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  12. Find |vec(x)|, if for a unit vector hat(a), (vec(x)-hat(a)).(vec(x) + ...

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  13. Find the vector product of the vectors 3hat(i) - hat(k) and -hat(i) - ...

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  14. Find the unit vector perpendicular to 3hat(i) + hat(j) + 2hat(k) and 2...

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  15. Find the area of parallelogram determined by the vectors hat(i) + 2hat...

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  16. If theta is the angle between any two vectors vec(a) and vec(b), then ...

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  17. Find the value of p for which the vectors vec(a) = 3hat(i) + 2hat(j) +...

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  18. Find [vec(a)vec(b)vec(c)], when vec(a) = 2hat(i) - 3hat(j) + 4hat(k), ...

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  19. If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |ve...

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  20. Find lambda, if (2hat(i) + 6hat(j) + 14 hat(k)) xx (hat(i) - lambda ha...

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