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Find the unit vector perpendicular to each of the vectors `veca = 3hati+2hatj-3hatk` and `vecb = hati+hatj-hatk`.

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MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
  1. Find the position vector of a point which divides the join of two poin...

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  2. Find the position vector of mid point of the line segment AB, if the p...

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  3. Find the unit vector perpendicular to each of the vectors veca = 3hati...

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  4. Find the area of the triangle having point A(1,1,1)B(1,2,3) and C(2,3,...

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  5. Find the area of the parallelogram having point A(5,-1,1), B(-1,-3,4) ...

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  6. Let, P be a point in space such that |vec(OP)|= sqrt3 and vec(OP) make...

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  7. If P(2,-1,4) is a point in the space, find the direction cosines of ve...

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  8. Can (1/sqrt3,1/sqrt2,1/sqrt2) be direction cosines of a vector.

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  9. If P(2,3,-6) and Q(3,-4,-6) are two points in the space. Find the dire...

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  10. Find the direction cosines of a vector which makes equal angles with t...

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  11. If P(1,2,-3) and Q(4,3,5) are two points in space , find the direction...

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  12. Find the scalar triple product of vectors hati+2hatj+3hatk, -hati-hatj...

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  13. Show that the vectors 4hati-hatj+hatk, 3hati-2hatj-hatk and hati+hatj+...

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  14. Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3...

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  15. Find the unit vector in the direction of 2hati+3hatj+hatk.\

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  16. Let, veca = hati+2hatj and vecb = 2hati+hatj. If |veca| = |vecb|. Are ...

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  17. Find the values of x & y so that vectors 2hati+3hatj and xhati+Yhatj a...

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  18. Find the scalar and dot product of vectors hati+2hatj-3hatk and 2hati-...

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  19. Show that (hati-hatj)/sqrt2 is a unit vector.

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  20. Find the direction ratios and direction cosines of the vector veca = h...

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