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Show that the points whose position vect...

Show that the points whose position vectors are `4veci +5vecj+6veck`, `5veci+6vecj+4veck`, and `6veci+4vecj +5veck` form an equilateral triangle.

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Show that the points whose position vectors are 2veci+3vecj-5veck,3veci+vecj-2veck and 6veci-5vecj+7veck are collinear.

Show that the points whose position vectors are veci -2vecj+3veck , 2veci+3vecj-4veck , and -7vecj +10veck are collinear.

Show that the points whose position vectors are 4veci +5vecj+veck , -vecj-veck , and 3veci+9vecj +4veck and -4veci+4vecj+4veck are co planar.

Show that the points 3veci +4vecj+2veck , 9veci+vecj+4veck , and 6veci-vecj -10veck form a right angled triangle.

If the points where position vector 5veci+3vecj,2veci-vecj and xveci+3vecj are collinear then x is :

The Position vectors of A,B,C are 3veci+2vecj-veck, 2veci+4vecj+5veck and veci+0vecj+5veck then the position vector of centroid is :

If veca=5veci-2vecj+3veck , vecb=2veci+vecj-veck find veca X vecb .

Show that the vector veci -2 vec j +3 vec k , -2 vec i + 3 vecj -4 vec k " and " -vec j + 2 vec k are coplanar.

Show that the vector veci -2 vec j +3 vec k , -2 vec i + 3 vecj -4 vec k " and " -vec j + 2 vec k are coplanar.

Find the angle between the vectors 2veci+vecj-veck " and " vec i + 2 vec j+ veck

FULL MARKS-VECTOR ALGEBRA-I-ADDITIONAL PROBLEMS
  1. Show that the vectors 2hati-3hatj+4hatk are -4hati+6hatj-8hatk are col...

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  2. Find the unit vectors parallel to the sum of 3hati-5hatj+8hatk and -2h...

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  3. Show that the points whose position vectors are 4veci +5vecj+6veck, 5v...

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  4. Prove that the points 2hati+3hatj+4hatk,3hati+4hatj+2hatk,4hati+2hatj+...

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  5. Examine whether the vectors hati+3hatj+hatk,2hati-hatj-hatk and 7hatj+...

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  6. Find lamda so that the vectors 2hati+lamdahatj+hatk and hati-2hatj+hat...

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  7. If |veca+vecb|=60,|veca-vecb|=40" ""and"" " |vecb|=46,"then" |veca|is

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  8. If the sum of two unit vectors is a unit vector prove that the magnitu...

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  9. Show that the vectors 3hati-2hatj+hatk,hati-3hatj+5hatk and 2hati+hatj...

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  10. Find the projection of : (i) hati-hatj on Z-axis (ii) hati+2hatj-2ha...

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  11. Show that the vector hati+hatj+hatk is equally inclined with the coord...

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  12. If veca,vecb,vecc are three mutually perpendicular unit vectors, then ...

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  13. Show that the points whose positions vectors 4hati-3hatj+hatk,2hati-4h...

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  14. Let vec(u),vec(v),vec(w)" be vectors such that "vec(u)+vec(v)+vec(w)=v...

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  15. If vecp=-3veci+4vecj-7veck ans vecq=6veci+2vecj-3veck then find vecpxx...

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  16. If veca.vecb are say two vectors, then prove that abs(vecaxxvecb)^(2)+...

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  17. Find the angle between the vectors 2hati+hatj-hatk and hati+2hatj+hatk...

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  18. Find the vectors of magnitude 6 which are perpendicular to both the ve...

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  19. Find the vectors whose length 5 and which are perpendicular to the vec...

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  20. If vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxvecd show that veca-vecd...

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