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If veca = hati + hatj+hatk, vecb = 2hati...

If `veca = hati + hatj+hatk, vecb = 2hati-hatj+3hatk` and `vecc = hati-2hatj+hatk`, find a unit vector parallel to the vector `2veca - vecb + 3vecc`

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If veca=5hati+hatj-4hatk, vecb=2hati-3hatj+hatk and vecc=hati+3hatj-2hatk then find a unit vector parallel to the vector 2veca+vecb+3vecc .

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MODERN PUBLICATION-VECTORS-Exercise
  1. Show that the points A(3,-2,1),B(1,-3,5),C(2,1,-4) do not form a right...

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  2. If the position vectors of the vertices of a triangle are : vecA=hati+...

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

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  4. Show that the four points A,B,C,D with position vectors veca*vecb*vecc...

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  5. Show that the four points P,Q,R,S with position vectors vecp,vecq,vecr...

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  6. Prove that the necessary and sufficient condition for three vectors ve...

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  7. If veca,vecb,vecc,vecd respectively, are position vectors representing...

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  8. If Q is the point of intersection of the medians of a triangle ABC, pr...

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  9. G is the centroid of a triangle ABC, show that : vec(GA)+vec(GB)+vec(G...

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  10. Let veca,vecb,vecc,vecd be the position vectors of the four distinct p...

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  11. Show that the line joining any vertex of a parallelogram to the mid-po...

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  12. Prove that the figure formed by joining the mid-points of the pairs of...

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  13. Show that if P,A,B are any three points, then lambda vec(PA)+mu vec(PB...

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  14. Obtain the dot product of the vectors : veca=veci-hatj+hatk and vecb=v...

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  15. Write the magnitude of a vector veca in terms of dot product.

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  16. If veca=7hati+hatj-4hatk and vecb=2hati+6hatj+3hatk find the projectio...

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  17. Let veca=2hati+3hatj+2hatk and vceb=hati+2hatj+hatk. Find the projecti...

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  18. Find the projection of the vector hati-hatj on the vector hati+hatj.

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  19. Find veca.vecb If veca=3hati-hatj+2hatk and vecb=2hati+3hatj+3hatk

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  20. Find veca.vecb If veca=2hati-hatj+hatk and vecb=2hatj-hatk.

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