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If hati+hatj+hatk, 2 hati+5 hatj, 3 hati...

If `hati+hatj+hatk, 2 hati+5 hatj, 3 hati+2 hatj-3 hatk` and `hati-6 hatj-hatk` are the position vectors of points `A, B , C` and `D` respectively, then find the angle between `bar(AB)` and `bar(CD)`. Deduce that `bar(AB)` and `bar(CD)` are collinear.

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Let the vectorsveca"and"vecbbe such that |veca|=3"and"|vecb|=sqrt2/3,...

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  2. Area of a rectangle having vertices 'A, B, C' and 'D' with position ve...

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  3. If hati+hatj+hatk, 2 hati+5 hatj, 3 hati+2 hatj-3 hatk and hati-6 hatj...

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  4. Let veca,vecb, " and " vecc be three vectors such that |veca|=3,|vecb|...

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  5. Three vectors veca,vecb,"and" vecc satisfy the conditionveca+vecb+vecc...

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  6. Write down a unit vector in XY plane making an angle of 30^@ with the...

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  7. Find the scalar components and magnitude of the vector joining the poi...

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  8. If 'veca=vecb+vecc', then is it true that '|veca|=|vecb|+|vecc| ?' Jus...

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  9. Find the value of 'x' for which 'x(hati+hatj+hatk)' is a unit vector.

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  10. Find a vector of magnitude 5 units and parallel to the resultant of th...

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  11. if veca=hati+hatj+hatk, vecb=2 hati-hatj+3 hatk and vecc=hati-2 hatj+h...

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  12. Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7)are collinear and...

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  13. Find the position vector of a point R which divides the line joining t...

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  14. The two adjacent sides of a parallelogram are '2 hati-4 hatj+5 hatk' a...

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

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  16. Let ' veca=hati+4 hatj+2 hatk, vecb=3 hati-2 hatj+7 hatk' and 'vecc=2 ...

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  17. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

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  18. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  19. Prove that (veca+vecb).(veca+vecb)=|veca|^2+|b|^2 if and only if veca...

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  20. Choose the correct answer. If theta is the angle between two vectors v...

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