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If vec a is a unit vector and (vec x - v...

If `vec a` is a unit vector and `(vec x - vec a).(vec x + vec a)=8`, then find `|vec x|`

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MODERN PUBLICATION-VECTOR ALGEBRA -Objective Type Questions (D. Very Short Answers Type Questions)
  1. For what value of 'a' the vectors : 2hat(i)-3hat(j)+4hat(k) and a h...

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  2. Write a unit vector in the direction of vec P Q ,\ w h e r e\ P\ a n ...

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  3. In a triangle OAC, if B is the mid point of side AC and vec O A= vec ...

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  4. Find the position vector of the point, which divides the join of point...

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  5. If |vec(a).vec(b)|=|vec(a)xx vec(b)|, find the angle between vec(a) an...

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  6. Obtain the dot product of the vectors : vec(a)=hat(i)-hat(j)+hat(k) ...

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  7. Write the magnitude of the vector vec(a) in terms of dot product.

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  8. Let vec(a)=(2hat(i)+3hat(j)+2 hat(k)) and vec(b)=(hat(i)+2hat(j)+hat(k...

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  9. Evaluate : (3vec(a)-5vec(b)).(2vec(a)+7vec(b)).

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  10. If vec a is a unit vector and (vec x - vec a).(vec x + vec a)=8, then ...

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  11. Find the angle between hat(i)+hat(j)+hat(k) and hat(i)+hat(j)-hat(k).

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  12. Find the angle between vec(a) and vec(b) such that : |vec(a)|=sqrt(2...

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  13. The position vectors of three vectors A, B and C are given to be hat(i...

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  14. Find 'lambda' when the vectors : vec(a)=2hat(i)+lambda hat(j)+hat(k) ...

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  15. If vec(a) and vec(b) are perpendicular vectors, |vec(a)+vec(b)|=3 and ...

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  16. Find the magnitude of each of the two vectors veca and vec b having th...

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  17. Find lambda if (2 hat i+6 hat j+14 hat k)x\ ( hat i-\ lambda hat j+7 h...

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  18. Find a vector of magnitude sqrt(171) which is perpendicular to both of...

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

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  20. Find the value of 'lambda' such that the vectors : 3hat(i)+lambda hat(...

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