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Show that the points whose positions vec...

Show that the points whose positions vectors `4hati-3hatj+hatk,2hati-4hatj+5hatk,hati-hatj` from a right angled triangle.

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Prove that the points whose position vectors 2hati+4hatj+3hatk,4hati+hatj+9hatk and 10hati-hatj+6hatk form a right angled triangle.

Show that the vectors 3hati-2hatj+hatk,hati-3hatj+5hatk and 2hati+hatj-4hatk form a right angled triangle.

Show that the vectors -hati-2hatj-6hatk,2hati-hatj+hatk" " and -hati+3hatj+5hatk, form a right angled triangle.

Show that the points whose position vectors 4hati + 5hatj + hatk, -hatj -hatk, 3hati + 9hatj + 4hatk and -4hati + 4hatj + 4hatk are coplanar.

Show that the vectors 2hati-hatj+hatk,hati-3hatj-5hatkand3hati-4hatk form the vertices of a right angled triangle.

Show that the points whose position vectors 4hat(i)+5hatj+hatk,-hatj-hatk,3hati+9hatj+4hatk and -4hati+4hatj+4hatk are coplanar.

The volume of the tetrahedronwhose vertices are the points with position vectors hati-6hatj+10hatk, -hati-3hatj+7hatk, 5hati-hatj+lamdahatk and 7hati-4hatj+7hatk is 11 cubic units then the value of lamda is (A) 7 (B) 1 (C) -7 (D) -1

NCERT TAMIL-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Show that the points whose positions vectors 4hati-3hatj+hatk,2hati-4h...

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  2. Write down a unit vector in XY - plane making an angle of 30^(@) with ...

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

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  4. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

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  5. If veca = vec b+ vec c, then is it true that |veca| = |vec b| + |vec ...

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  6. Find the value of x for which x (hat i + hat j + hat k) is a unit vect...

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

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  8. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatkandvecc=hati-2hatj+hatk, ...

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  9. Show that the points A(1, -2, -8) B (5, 0, -2) and C(11, 3, 7) are col...

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

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  11. The two adjacent sides of a parallelogram are 2 hat i - 4 hat j + 5 ha...

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

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  13. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

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  14. Thescalar product of the vector hat i + hat j + hat k with a unit vect...

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  15. If veca,vecb,vecc are mutually perpendicular vectors of equal magnitu...

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  16. Prove that (veca+vecb)*(veca+vecb)=|veca|^(2)+|vecb|^(2), if and only...

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  17. If theta is the angle between two vectors vecaandvecb then veca*vecbge...

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  18. Let vecaandvecb be two unit vectors and theta is the angle between the...

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  19. The value of hati.(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjxxhati) ...

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  20. If theta is the angle between any two vectors vec a and vec b , then |...

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