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Show that the three points veca-2vecb+3v...

Show that the three points `veca-2vecb+3vecc, 2veca+3vecb-4vecc` and `-7vecb+10vecc` are collinear.

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Show that points with position vectors 2veca-2vecb+3vecc,-2veca+3vecb-vecc and 6veca-7vecb+7vecc are collinear. It is given that vectors veca,vecb and vecc and non-coplanar.

If veca, vecb and vecc are non-coplanar vectors, prove that the four points 2veca+3vecb-vecc, veca-2vecb+3vecc, 3veca+4vecb-2vecc and veca-6vecb+ 6 vecc are coplanar.

If veca, vecb and vecc are non-coplanar vectors and lamda is a real number, then the vectors veca + 2vecb + 3vecc, lamda vecb + mu vecc and (2lamda -1)vecc are coplanar when

For any three vectors veca,vecb,vecc show that veca-vecb,vecb-vecc,vecc-veca are coplanar.

Prove that veca*((vecb+vecc)xx(veca+vecb+vecc))=0 .

Three points A,B, and C have position vectors -2veca+3vecb+5vecc, veca+2vecb+3vecc and 7veca-vecc with reference to an origin O. Answer the following questions? Which of the following is true?

Three points A,B, and C have position vectors -2veca+3vecb+5vecc, veca+2vecb+3vecc and 7veca-vecc with reference to an origin O. Answer the following questions? B divided AC in ratio

Show that the four points A,B,C,D with position vectors veca*vecb*vecc*vecd respectively, are coplanar if and only if 3veca-2vecb+vecc-2vecd=vec0 .

prove that : [veca+vecb,vecb+vecc,vecc+veca]=2[veca,vecb,vecc]

MODERN PUBLICATION-VECTORS-Exercise
  1. If a unit vector veca, makes angles pi/3with hati, pi/4wih hatj and...

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  2. Prove that the unit vcetor perpendicular to each of the vcetors 2hati-...

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  3. Show that the three points veca-2vecb+3vecc, 2veca+3vecb-4vecc and -7v...

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  4. With help of vectors find the area of the triangle with vertices A(2,3...

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  5. Find, with help of vectors, the area of the triangle with vertices : A...

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  6. Find the area of triangle with vertices (1,2,4),(3,1,-2)and(4,3,1).

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  7. Find the value of 'x' if the area of triangle is 35 square cm. With ve...

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  8. If veca,vecb,vecc are any three vectors then prove that. vecaxx(vecb...

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  9. If veca,vecb,vecc are three vectors such that vecaxxvecb=vecc,vecbxxve...

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  10. If veca,vecb,vecc are mutually perpendicular unit vectors and vecaxxve...

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  11. If veca=hati+4hatj+2hatk , vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+...

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  12. If vecaxxvecb=vecbxxvecc ne vec0, show that veca+vecc=vec(mb) m being ...

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  13. Prove that |vecaxxvecb|^2=|veca|^2|vecb|^2-(veca*vecb)^2=|:[veca*veca ...

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  14. If veca,vecb,vecc are position vectors of non-collinear points A,B and...

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  15. Prove that the normal to the plane containing three point whose positi...

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  16. Find the unit vectors perpendicular to the plane ABC, where the positi...

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  17. Prove that : sin(A- B) = sin A cos B -cos A sin B.

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  18. Find the moment about (1,-1,-1) of the force 3hati+4hatj-5hatk acting ...

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  19. The force represented by 3hati+2hatk is acting through the point 5hati...

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  20. Find the moment about the point hati+2hatj-hatk of a force represented...

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