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Write unit vector in the direction of th...

Write unit vector in the direction of the sum of vectors
`veca=2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk`

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Find the unit vector in the direction of the sum of the vectors, veca = 2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .

Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+hatk and 'vecb=2hati+hatj-3hatk'

Find a vector of magnitude 5 units and parallel to the resultant of the vectors veca=2hati+3hatj-hatk and vecb=hati-2hatj+hatk .

The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb=hati+2hatj+hatk is :

The scalar product of the vector veca=hati+hatj+hatk with a unit vector along the sum of vectors vecb=2hati+4hatj-5hatk and vecc=lambdahati+2hatj+3hatk is equal to one. Find the value of 'lambda' and hence find the unit vector along vecb+vecc .

Find a unit vector in the direction of the resultant of the vectors (hati+2hatj+3hatk),(-hati+2hatj+hatk) and (3hati+hatj) .

MODERN PUBLICATION-VECTORS-Exercise
  1. Find the position vector of the centroid of the /\ABC when the positio...

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  2. Show that the vectors veca=2hati+3hatj and vecb=4hati+6hatj are parall...

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  3. Write unit vector in the direction of the sum of vectors veca=2hati+...

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  4. IF veca=2hati-hatj+2hatk and vecb=6hati+2hatj+3hatk, find a unit vecto...

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  5. Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+...

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  6. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...

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  7. Find the condition that veca=xhati+yhatj and vecb=yhati+xhatj (because...

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  8. Consider two points P and Q with position vectors vec(OP) = 3veca-2vec...

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  9. Consider two points P and Q with position vectors vec(OP) = 3veca-2vec...

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

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  11. Show that the following points are collinear : A(-2,1),B(-5,-1),C(1,3)...

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  12. Show that the following points are collinear : A(1,2,7),B(2,6,3),C(3,1...

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  13. If veca=-2hati+3hatj+5hatk,vecb=hati+2hatj+3hatkandvecc=7hati-hatk are...

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  14. Show that the following vectors are coplanar : hati-hatj+hatk,6hati-ha...

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  15. Show that the following vectors are coplanar : 3hati-2hatj+4hatk,6hati...

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  16. Show that the following vectors are coplanar : 2hati-hatj+hatk,hati-3h...

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

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

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

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