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If vec(PQ)=3hati+2hatj-hatk and the coor...

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

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The correct Answer is:
`(4,1,-3)`
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If p=7hati-2hatj+3hatk and q=3hati+hatj+5hatk , then find the magnitude of p-2q.

If veca=2hati+hatj+3hatk and vecb=3hati+5hatj-2hatk , then find |\vecaxxvecb| .

If veca=hati-2hatj+3hatk and vecb=2hati+3hatj-5hatk , find vecaxxvecb and verify that veca and vecaxxvecb are perpendicular to the vectors : 3hati-2hatj+hatk,hati-2hatj-3hatk .

BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION II) SHORT ANSWER TYPE QUESTIONS
  1. Find the sum of the following vectors veca=hati-2hatj,vecb=2hati-3ha...

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  2. Find the vector joining the points P(2, 3, 0) and Q(– 1, – 2, – 4) dir...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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