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Find the direction cosines of a vector w...

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

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MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
  1. Can (1/sqrt3,1/sqrt2,1/sqrt2) be direction cosines of a vector.

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Show that the vectors 2hati-hatj+4hatk and -4hati+6hatj-8hatk are coll...

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  15. Find |vecx|, if for a unit vector veca, (vecx-veca).(vecx+veca) = 12.

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  16. Find |veca-vecb|, if two vectors veca and vecb are such that |veca| = ...

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  17. If = veca = hati-7hatj+7hatk and vecb = 3hati-2hatj+2hatk find vecaxxv...

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  18. Evaluate (3veca-5vecb).(2veca+7vecb)

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  19. Find lambda and mu if (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk) =...

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  20. Show that, (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb).

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