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If abs(veca)=3,abs( vecb)=1,abs(vecc)=4 ...

If `abs(veca)=3,abs( vecb)=1,abs(vecc)=4` and `veca+vecb+vecc=0,`find the value of `veca*vecb+vecb*vecc+vecc*veca.`

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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. If the vertices A,B,C of a triangle ABC are A(1,1,8),B(4,-3,-4)and C(-...

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  2. If vec(a) makes equal angles with hat(i), hat(j) and hat(k) has magnit...

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  3. If abs(veca)=3,abs( vecb)=1,abs(vecc)=4 and veca+vecb+vecc=0,find the ...

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  4. Let hata,hatb,hatc be unit vectors. Suppose that and the angle between...

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  5. Calculate the area of the triangle ABC (by vector method) where A(1,1,...

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  6. If the co-ordinates of the two given point s A and B are (3,-1,7)and (...

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  7. Find the co-ordinates of the foot of the perpendicular from the point ...

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  8. Write the vector equation of a line through the point (1,2,3) and para...

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  9. Show that the line through the point(4,7,8),(2,3,4)is parallel to the ...

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  10. If P (1,y,z) lies on the line through (3,2,-1) and (-4,6,3) find y & z...

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  11. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  12. Find the direction cosines of the unit vector perpendicular to the pla...

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  13. Find the equation of the plane through the points (1,0,-1),(3,2,-2)and...

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  14. A variable plane passes through a fixed point (a,b,c) and meets the co...

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  15. Find the equation plane passing through the point (2,3,1 )and perpendi...

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  16. Find the equation of the plane passing through the line x = y = z and ...

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  17. Prove the following by vector method. Median to the base of an isoscel...

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  18. Prove the following by vector method. In a triangle AOB, mangleAOB = 9...

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  19. show that the direction of cosines of a vector equally inclined to the...

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  20. If veca=vecb+vecc, then write the value of veca*(vecbxxvecc).

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