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Show that the vectors veca=2hati+3hatj a...

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

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Show that vectors vecA= hati - 5hatj and vecB= 2hati-10 hatj are parallel to each other.

The value of 'lambda' for which the vectors : veca=2hati+3hatj-hatk and vecb=4hati+6hatj+lambdahatk are parallel is :

Show that vectors vecA= 3hati+ hatj+ hatk and vecB= hati+ 2hatj- 5hatk are perpendicular to each other.

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

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

Show that the vectors veca=hati-2hatj+3hatk,vecb=-2hati+3hatj-4hatk and vecc=hati-3hatj+5hatk are coplanar.

Show that the vector vecA = -6hati + 9hatj - 12 hatk and vec = 2 hati - 3hatj + 4hatk are parallel to each other.

MODERN PUBLICATION-VECTORS-Exercise
  1. If the position vectors of the point A and B are : 7hati+3hatj-hatk an...

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  2. Find the position vector of the centroid of the /\ABC when the positio...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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