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If veca=xhati+2hatj-zhatk and vecb=3hati...

If `veca=xhati+2hatj-zhatk and vecb=3hati-yhatj+hatk` are equal vectors. Write the value of `x+y+z`.

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BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION II) SHORT ANSWER TYPE QUESTIONS
  1. Find the vector joining the points P(2, 3, 0) and Q(– 1, – 2, – 4) dir...

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  2. If vec(PQ)=3hati+2hatj-hatk and the coordinate of P are (1,-2,-2), fin...

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  3. If veca=xhati+2hatj-zhatk and vecb=3hati-yhatj+hatk are equal vectors....

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  4. Find a unit vector in the direction of following vectors 2hati-3hatj...

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  5. Find a unit vector in the direction of following vectors 2hati-6hatj...

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  6. Find a unit vector in the direction of following vectors -2hati+hatj...

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  7. Write unit vector in the direction of the sum of vectors veca=2hati+...

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  8. Write unit vector in the direction of the sum of vectors veca=2hati+...

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  9. Write a vector of magnitude 9 units in the direction of vector -2hati+...

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  10. Write a vector of magnitude 6 units in the direction of vector 2hati-h...

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  11. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  12. Find the direction cosines of the vector -2hati+hatj-5hatk.

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  13. Show that the direction cosines of a vector equally inclined to the ax...

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  14. Show that the vector veci+vecj+veck is equally inclined to the axes O...

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  15. Write the direction ratios of the vector r=hati-hatj+2hatk and hence c...

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  16. If P = (1, 5, 4) and Q = (4, 1, -2) then find the d.r. of PQ.

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  17. Find the direction cosine of the line joining the points (1,0,0) and (...

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  18. Find the value of 'p' for which the vector 3hati+2hatj+9hatk and hati-...

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  19. Find the condition that veca=xhati+yhatj and vecb=yhati+xhatj (because...

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  20. Show that points A(-2,1),B(-5,-1) and C(1,3) are collinear.

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